Debeljković, Dragutin Lj.

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  • Debeljković, Dragutin Lj. (17)
  • Debeljković, Dragutin (16)
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Author's Bibliography

Stabilnost i robusnost posebnih klasa sistema automatskog upravljanja na konačnom vremenskom intervalu II deo

Stojanović, Sreten; Lazarević, Mihailo; Debeljković, Dragutin; Antić, Dragan

(Univerzitet u Nišu Tehnološki fakultet u Leskovcu, 2019)

TY  - BOOK
AU  - Stojanović, Sreten
AU  - Lazarević, Mihailo
AU  - Debeljković, Dragutin
AU  - Antić, Dragan
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6757
AB  - U poslednje  vreme u žiži  interesovanja autora bili su, veoma složeni singularno-deskriptivni sistemi automatskog upravljanja sa prisustnim čistim vremenskim kašnjenjem u stanju sistema i to u svetlu koncepta stabilnosti, robusnosti, stabilizacije i robusne stabilizacije. Mimo toga, u odnosu na prethodne  zajedničke monografije, ovde se po prvi put izlaže jedna posebna klasa sistema automatskog upravljanja opisana diferencijalnim (diferencnim) jednačinama necelobrojnog reda. Da bi se shvatila ova složena problematika, autori su u jednom širem kontekstu upoznali buduće čitaoce sa osnovnim postulatima frakcionog računa. Okosnica ove monografije počiva ba savremenoj teoriji upravljanja i postavlja i razrešava niz veoma složenih  pitanja neljapunovske stabilnosti i robusnosti, posebnih klasa, sistema  automatskog upravljanja. sta
PB  - Univerzitet u Nišu Tehnološki fakultet u Leskovcu
T2  - Univerzitet u Nišu Tehnološki fakultet u Leskovcu,   (COBISS.SR-ID   281865228 )
T1  - Stabilnost i robusnost posebnih klasa sistema automatskog upravljanja na konačnom vremenskom intervalu II deo
EP  - 442
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6757
ER  - 
@book{
author = "Stojanović, Sreten and Lazarević, Mihailo and Debeljković, Dragutin and Antić, Dragan",
year = "2019",
abstract = "U poslednje  vreme u žiži  interesovanja autora bili su, veoma složeni singularno-deskriptivni sistemi automatskog upravljanja sa prisustnim čistim vremenskim kašnjenjem u stanju sistema i to u svetlu koncepta stabilnosti, robusnosti, stabilizacije i robusne stabilizacije. Mimo toga, u odnosu na prethodne  zajedničke monografije, ovde se po prvi put izlaže jedna posebna klasa sistema automatskog upravljanja opisana diferencijalnim (diferencnim) jednačinama necelobrojnog reda. Da bi se shvatila ova složena problematika, autori su u jednom širem kontekstu upoznali buduće čitaoce sa osnovnim postulatima frakcionog računa. Okosnica ove monografije počiva ba savremenoj teoriji upravljanja i postavlja i razrešava niz veoma složenih  pitanja neljapunovske stabilnosti i robusnosti, posebnih klasa, sistema  automatskog upravljanja. sta",
publisher = "Univerzitet u Nišu Tehnološki fakultet u Leskovcu",
journal = "Univerzitet u Nišu Tehnološki fakultet u Leskovcu,   (COBISS.SR-ID   281865228 )",
title = "Stabilnost i robusnost posebnih klasa sistema automatskog upravljanja na konačnom vremenskom intervalu II deo",
pages = "442-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6757"
}
Stojanović, S., Lazarević, M., Debeljković, D.,& Antić, D.. (2019). Stabilnost i robusnost posebnih klasa sistema automatskog upravljanja na konačnom vremenskom intervalu II deo. in Univerzitet u Nišu Tehnološki fakultet u Leskovcu,   (COBISS.SR-ID   281865228 )
Univerzitet u Nišu Tehnološki fakultet u Leskovcu., 1-442.
https://hdl.handle.net/21.15107/rcub_machinery_6757
Stojanović S, Lazarević M, Debeljković D, Antić D. Stabilnost i robusnost posebnih klasa sistema automatskog upravljanja na konačnom vremenskom intervalu II deo. in Univerzitet u Nišu Tehnološki fakultet u Leskovcu,   (COBISS.SR-ID   281865228 ). 2019;:1-442.
https://hdl.handle.net/21.15107/rcub_machinery_6757 .
Stojanović, Sreten, Lazarević, Mihailo, Debeljković, Dragutin, Antić, Dragan, "Stabilnost i robusnost posebnih klasa sistema automatskog upravljanja na konačnom vremenskom intervalu II deo" in Univerzitet u Nišu Tehnološki fakultet u Leskovcu,   (COBISS.SR-ID   281865228 ) (2019):1-442,
https://hdl.handle.net/21.15107/rcub_machinery_6757 .

Further Results on Finite-time Stability of Continuous Singular Time Delay Systems

Buzurović, Ivan M.; Debeljković, Dragutin Lj.; Sedak, Miloš; Radojević, Darko

(Institute of Electrical and Electronics Engineers Inc., 2018)

TY  - CONF
AU  - Buzurović, Ivan M.
AU  - Debeljković, Dragutin Lj.
AU  - Sedak, Miloš
AU  - Radojević, Darko
PY  - 2018
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2986
AB  - This paper provides novel additional sufficient conditions for finite-time stability of the linear continuous singular time delay systems. A novel method was used to derive new delay dependent conditions. The stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's and Coppel's inequality, including the convolution of delayed states. The derived conditions were applied in the system stability analysis. As a result of these, the aggregation functional did not have to be positive in the state space domain and did not need to have the negative derivatives along the system trajectories. Finite-time stability was analyzed using the novel conditions derived in this paper, which guarantees that the states of the systems do not exceed the predefined boundaries over a finite-time interval.
PB  - Institute of Electrical and Electronics Engineers Inc.
C3  - Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
T1  - Further Results on Finite-time Stability of Continuous Singular Time Delay Systems
EP  - 1545
SP  - 1540
VL  - 2018-February
DO  - 10.1109/ICIEA.2017.8283083
ER  - 
@conference{
author = "Buzurović, Ivan M. and Debeljković, Dragutin Lj. and Sedak, Miloš and Radojević, Darko",
year = "2018",
abstract = "This paper provides novel additional sufficient conditions for finite-time stability of the linear continuous singular time delay systems. A novel method was used to derive new delay dependent conditions. The stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's and Coppel's inequality, including the convolution of delayed states. The derived conditions were applied in the system stability analysis. As a result of these, the aggregation functional did not have to be positive in the state space domain and did not need to have the negative derivatives along the system trajectories. Finite-time stability was analyzed using the novel conditions derived in this paper, which guarantees that the states of the systems do not exceed the predefined boundaries over a finite-time interval.",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
journal = "Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017",
title = "Further Results on Finite-time Stability of Continuous Singular Time Delay Systems",
pages = "1545-1540",
volume = "2018-February",
doi = "10.1109/ICIEA.2017.8283083"
}
Buzurović, I. M., Debeljković, D. Lj., Sedak, M.,& Radojević, D.. (2018). Further Results on Finite-time Stability of Continuous Singular Time Delay Systems. in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
Institute of Electrical and Electronics Engineers Inc.., 2018-February, 1540-1545.
https://doi.org/10.1109/ICIEA.2017.8283083
Buzurović IM, Debeljković DL, Sedak M, Radojević D. Further Results on Finite-time Stability of Continuous Singular Time Delay Systems. in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. 2018;2018-February:1540-1545.
doi:10.1109/ICIEA.2017.8283083 .
Buzurović, Ivan M., Debeljković, Dragutin Lj., Sedak, Miloš, Radojević, Darko, "Further Results on Finite-time Stability of Continuous Singular Time Delay Systems" in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017, 2018-February (2018):1540-1545,
https://doi.org/10.1109/ICIEA.2017.8283083 . .

Dinamika sistema opisanih algebro-diferencijalnim jednačinama sa pomerenim argumentom, II deo

Matijević, Milan; Debeljković, Dragutin; Buzurović, Ivan; Lazarević, Mihailo

(Univerzitet u Kragujevcu Fakultet inženjerskih nauka, 2017)

TY  - BOOK
AU  - Matijević, Milan
AU  - Debeljković, Dragutin
AU  - Buzurović, Ivan
AU  - Lazarević, Mihailo
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6754
AB  - Okosnica ove monografije počiva na savremenoj teoriji upravljanja i postavlja i razrešava niz veoma složenih pitanja dinamike, posebnih klasa, sistema automatskog upravljanja,  opisanih sistemom diferencijalnih (diferencnih)  jednačina sa pomerenim argumentom. U tom smislu, izložen je ograničen broj radova eminentnih naučnika i osvedočenih autoriteta iz ove oblasti, kao i manji broj radova samih autora iz ove, uvek aktuelne i više nego provokativne, oblasti savremene teorije upravljanja i stabilnosti. Poseban doprinos monografije daje pregled upravljačkih struktura sa unutrašnjim modelima. Opisana su tri globalna prilaza sinteze sistema sa unutrašnjim modelima koja se odnose na korišćenje: principa unutrašnjeg modela IMP (Internal Model Principle), IMC (Internal Model Control) strukture i Tsypkinove IMPACT (Internal Model Principle and Control Together) strukture. Ovi prilazi su nastali potpuno nezavisno jedni od drugih, u različitim vremenskim razdobljima, kao plod rada mnoštva istraživača, angažovanih na rešavanju različitih upravljačkih problema. U ovim upravljačkim strukturama ugrađuju se elementi čiji karakter eksplicitno zavisi od modela poremećaja i/ili modela objekta upravljanja. Zavisno od primarnih upravljačkih ciljeva, razvijeni su različiti koncepti primene unutrašnjih modela u strukturnoj sintezi sistema. U monografiji su opisana svojstva struktura sa unutrašnjim modelima. Svi do sada razvijeni postupci strukturne sinteze upravljanih sporih industrijskih procesa mogu se svrstati u pomenute tri kategorije u zavisnosti od toga kako se i na kom principu unutrašnji modeli unose u upravljački deo strukture sistema automatskog upravljanja. Posebno poglavlje je posvećeno novoj upravljačkoj strukturi za upravljanje sporih industrijskih procesa sa transportnim kašenjenjem. Odlikuje je mali broj podešljivih parametara sa jasnim fizičkim značenjem i eksplicitnim uticajem na dinamičke i robustne performanse sistema sa zatvorenom povratnom spregom. Sistematizacija i strukturne i parametarske sinteze IMPACT strukture, i njenih osnovnih varijacija, je data u poslednjem poglavlju.
PB  - Univerzitet u Kragujevcu Fakultet inženjerskih nauka
T2  - Univerzitet u Kragujevcu  Fakultet inženjerskih nauka Kragujevac     (COBISS.SR – ID 224376588)
T1  - Dinamika sistema opisanih algebro-diferencijalnim jednačinama sa pomerenim argumentom, II deo
EP  - 570
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6754
ER  - 
@book{
author = "Matijević, Milan and Debeljković, Dragutin and Buzurović, Ivan and Lazarević, Mihailo",
year = "2017",
abstract = "Okosnica ove monografije počiva na savremenoj teoriji upravljanja i postavlja i razrešava niz veoma složenih pitanja dinamike, posebnih klasa, sistema automatskog upravljanja,  opisanih sistemom diferencijalnih (diferencnih)  jednačina sa pomerenim argumentom. U tom smislu, izložen je ograničen broj radova eminentnih naučnika i osvedočenih autoriteta iz ove oblasti, kao i manji broj radova samih autora iz ove, uvek aktuelne i više nego provokativne, oblasti savremene teorije upravljanja i stabilnosti. Poseban doprinos monografije daje pregled upravljačkih struktura sa unutrašnjim modelima. Opisana su tri globalna prilaza sinteze sistema sa unutrašnjim modelima koja se odnose na korišćenje: principa unutrašnjeg modela IMP (Internal Model Principle), IMC (Internal Model Control) strukture i Tsypkinove IMPACT (Internal Model Principle and Control Together) strukture. Ovi prilazi su nastali potpuno nezavisno jedni od drugih, u različitim vremenskim razdobljima, kao plod rada mnoštva istraživača, angažovanih na rešavanju različitih upravljačkih problema. U ovim upravljačkim strukturama ugrađuju se elementi čiji karakter eksplicitno zavisi od modela poremećaja i/ili modela objekta upravljanja. Zavisno od primarnih upravljačkih ciljeva, razvijeni su različiti koncepti primene unutrašnjih modela u strukturnoj sintezi sistema. U monografiji su opisana svojstva struktura sa unutrašnjim modelima. Svi do sada razvijeni postupci strukturne sinteze upravljanih sporih industrijskih procesa mogu se svrstati u pomenute tri kategorije u zavisnosti od toga kako se i na kom principu unutrašnji modeli unose u upravljački deo strukture sistema automatskog upravljanja. Posebno poglavlje je posvećeno novoj upravljačkoj strukturi za upravljanje sporih industrijskih procesa sa transportnim kašenjenjem. Odlikuje je mali broj podešljivih parametara sa jasnim fizičkim značenjem i eksplicitnim uticajem na dinamičke i robustne performanse sistema sa zatvorenom povratnom spregom. Sistematizacija i strukturne i parametarske sinteze IMPACT strukture, i njenih osnovnih varijacija, je data u poslednjem poglavlju.",
publisher = "Univerzitet u Kragujevcu Fakultet inženjerskih nauka",
journal = "Univerzitet u Kragujevcu  Fakultet inženjerskih nauka Kragujevac     (COBISS.SR – ID 224376588)",
title = "Dinamika sistema opisanih algebro-diferencijalnim jednačinama sa pomerenim argumentom, II deo",
pages = "570-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6754"
}
Matijević, M., Debeljković, D., Buzurović, I.,& Lazarević, M.. (2017). Dinamika sistema opisanih algebro-diferencijalnim jednačinama sa pomerenim argumentom, II deo. in Univerzitet u Kragujevcu  Fakultet inženjerskih nauka Kragujevac     (COBISS.SR – ID 224376588)
Univerzitet u Kragujevcu Fakultet inženjerskih nauka., 1-570.
https://hdl.handle.net/21.15107/rcub_machinery_6754
Matijević M, Debeljković D, Buzurović I, Lazarević M. Dinamika sistema opisanih algebro-diferencijalnim jednačinama sa pomerenim argumentom, II deo. in Univerzitet u Kragujevcu  Fakultet inženjerskih nauka Kragujevac     (COBISS.SR – ID 224376588). 2017;:1-570.
https://hdl.handle.net/21.15107/rcub_machinery_6754 .
Matijević, Milan, Debeljković, Dragutin, Buzurović, Ivan, Lazarević, Mihailo, "Dinamika sistema opisanih algebro-diferencijalnim jednačinama sa pomerenim argumentom, II deo" in Univerzitet u Kragujevcu  Fakultet inženjerskih nauka Kragujevac     (COBISS.SR – ID 224376588) (2017):1-570,
https://hdl.handle.net/21.15107/rcub_machinery_6754 .

Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States

Buzurović, Ivan M.; Debeljković, Dragutin Lj.; Sedak, Miloš; Radojević, Darko

(Institute of Electrical and Electronics Engineers Inc., 2017)

TY  - CONF
AU  - Buzurović, Ivan M.
AU  - Debeljković, Dragutin Lj.
AU  - Sedak, Miloš
AU  - Radojević, Darko
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2700
AB  - This paper provides sufficient conditions for the finite time stability of linear time invariant discrete descriptor time delay systems, mathematically described as Ex(k+1) = A(0)x(k) + A(1)x(t-h). A novel method was used to derive new delay dependent conditions. Stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's inequality, including convolution of delayed states. The established conditions were applied to analysis of the system stability. In this case, the aggregation functional does not have to be positive in the state space domain and does not need to have the negative derivatives along the system trajectories. The system stability conditions were applicable to investigation of the finite time stability using the novel conditions proposed in this paper. This mathematical formulation guaranteed that the states of the systems do not exceed the predefined boundaries over a finite time interval.
PB  - Institute of Electrical and Electronics Engineers Inc.
C3  - 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016
T1  - Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States
DO  - 10.1109/ICARCV.2016.7838794
ER  - 
@conference{
author = "Buzurović, Ivan M. and Debeljković, Dragutin Lj. and Sedak, Miloš and Radojević, Darko",
year = "2017",
abstract = "This paper provides sufficient conditions for the finite time stability of linear time invariant discrete descriptor time delay systems, mathematically described as Ex(k+1) = A(0)x(k) + A(1)x(t-h). A novel method was used to derive new delay dependent conditions. Stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's inequality, including convolution of delayed states. The established conditions were applied to analysis of the system stability. In this case, the aggregation functional does not have to be positive in the state space domain and does not need to have the negative derivatives along the system trajectories. The system stability conditions were applicable to investigation of the finite time stability using the novel conditions proposed in this paper. This mathematical formulation guaranteed that the states of the systems do not exceed the predefined boundaries over a finite time interval.",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
journal = "2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016",
title = "Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States",
doi = "10.1109/ICARCV.2016.7838794"
}
Buzurović, I. M., Debeljković, D. Lj., Sedak, M.,& Radojević, D.. (2017). Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States. in 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016
Institute of Electrical and Electronics Engineers Inc...
https://doi.org/10.1109/ICARCV.2016.7838794
Buzurović IM, Debeljković DL, Sedak M, Radojević D. Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States. in 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016. 2017;.
doi:10.1109/ICARCV.2016.7838794 .
Buzurović, Ivan M., Debeljković, Dragutin Lj., Sedak, Miloš, Radojević, Darko, "Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States" in 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016 (2017),
https://doi.org/10.1109/ICARCV.2016.7838794 . .

Stabilnost na konačnom vremenskom intervalu, zavisna od kašnjenja, linearnih diskretnih sistema sa kašnjenjem - prilaz sa pozicija numeričkog rešavanja

Debeljković, Dragutin Lj.; Cvetković, Aleksandar; Buzurović, Ivan; Mišić, Milan; Janković, Vladimir

(Vojnotehnički institut, Beograd, 2015)

TY  - JOUR
AU  - Debeljković, Dragutin Lj.
AU  - Cvetković, Aleksandar
AU  - Buzurović, Ivan
AU  - Mišić, Milan
AU  - Janković, Vladimir
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2057
AB  - U ovom radu razmatra se jedno moguće rešenje bazične nelinearne kvadratne matrične jednačine. To rešenje ima krucijelni značaj u formulisanju posebnog kriterijuma, zavisnog od iznosa čisto vremenskog kašnjenja, za stabilnost na konačnom vremenskom intervalu posebne klase sistema sa kašnjenjem, opisane svojim matričnim modelom x(k+1)=A0(k) + A1x(k-h). U tom smislu izveden je i odgovarajući kriterijum stabilnosti koji uključuje i iznos čisto vremenskog kašnjenja. Mimo toga, posebno je apostrofiran značaj nelinearnog diskretnog matričnog polinoma u stabilnosti sistema. Koristeći matematički formalizam, baziran na Traub-ovom i Bernuli-jevom algoritmu, zaključeno je da sračunavanje dominantnog solventa matričnog polinoma, ne garantuje potrebnu konvergenciju u svim slučajevima, kao sto je slučaj u tradicionalnim numeričkim procedurama. U ovom radu, prezentuje se jedno posebno i jedno opste rešenje, koje važi za slučaj kada se matrični polinom može prikazati u faktorizovanom obliku. Numeričkim primerom ilustrovana je opravdanost predložene procedure.
AB  - In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems represented as x(k+1)=A0(k)+A1x(k-h). The time delay-dependent criteria have been derived. In addition, the significance of the nonlinear discrete polynomial matrix equation is explained. With the use of the mathematical formalism based on the Traub and Bernoulli's algorithms, it was concluded that the computation of the dominant solvent of the matrix polynomial equation does not guarantee a necessary convergence in all cases, unlike in the traditional numerical procedures. In this paper, we presented one particular and one general solution valid in the case when the discrete matrix equation was presented in its factorial form. The numerical computations are performed to illustrate the suggested results.
PB  - Vojnotehnički institut, Beograd
T2  - Scientific Technical Review
T1  - Stabilnost na konačnom vremenskom intervalu, zavisna od kašnjenja, linearnih diskretnih sistema sa kašnjenjem - prilaz sa pozicija numeričkog rešavanja
T1  - Stabilité sur l'intervalle temporelle finie dépendante du délai des systèmes linéaires discrets à délai: Tableau de solution numérique / (ruski) Stabil'nost' v sistemah konečnogo vremeni v zavisimosti ot zaderžek, linejnyh diskretnyh sistem so zaderžkoj vremeni: Displej s pokazom čislennyh rešenij
T1  - On finite time delay dependent stability of linear discrete delay systems: Numerical solution approach
EP  - 45
IS  - 3
SP  - 39
VL  - 65
DO  - 10.5937/STR1503039D
ER  - 
@article{
author = "Debeljković, Dragutin Lj. and Cvetković, Aleksandar and Buzurović, Ivan and Mišić, Milan and Janković, Vladimir",
year = "2015",
abstract = "U ovom radu razmatra se jedno moguće rešenje bazične nelinearne kvadratne matrične jednačine. To rešenje ima krucijelni značaj u formulisanju posebnog kriterijuma, zavisnog od iznosa čisto vremenskog kašnjenja, za stabilnost na konačnom vremenskom intervalu posebne klase sistema sa kašnjenjem, opisane svojim matričnim modelom x(k+1)=A0(k) + A1x(k-h). U tom smislu izveden je i odgovarajući kriterijum stabilnosti koji uključuje i iznos čisto vremenskog kašnjenja. Mimo toga, posebno je apostrofiran značaj nelinearnog diskretnog matričnog polinoma u stabilnosti sistema. Koristeći matematički formalizam, baziran na Traub-ovom i Bernuli-jevom algoritmu, zaključeno je da sračunavanje dominantnog solventa matričnog polinoma, ne garantuje potrebnu konvergenciju u svim slučajevima, kao sto je slučaj u tradicionalnim numeričkim procedurama. U ovom radu, prezentuje se jedno posebno i jedno opste rešenje, koje važi za slučaj kada se matrični polinom može prikazati u faktorizovanom obliku. Numeričkim primerom ilustrovana je opravdanost predložene procedure., In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems represented as x(k+1)=A0(k)+A1x(k-h). The time delay-dependent criteria have been derived. In addition, the significance of the nonlinear discrete polynomial matrix equation is explained. With the use of the mathematical formalism based on the Traub and Bernoulli's algorithms, it was concluded that the computation of the dominant solvent of the matrix polynomial equation does not guarantee a necessary convergence in all cases, unlike in the traditional numerical procedures. In this paper, we presented one particular and one general solution valid in the case when the discrete matrix equation was presented in its factorial form. The numerical computations are performed to illustrate the suggested results.",
publisher = "Vojnotehnički institut, Beograd",
journal = "Scientific Technical Review",
title = "Stabilnost na konačnom vremenskom intervalu, zavisna od kašnjenja, linearnih diskretnih sistema sa kašnjenjem - prilaz sa pozicija numeričkog rešavanja, Stabilité sur l'intervalle temporelle finie dépendante du délai des systèmes linéaires discrets à délai: Tableau de solution numérique / (ruski) Stabil'nost' v sistemah konečnogo vremeni v zavisimosti ot zaderžek, linejnyh diskretnyh sistem so zaderžkoj vremeni: Displej s pokazom čislennyh rešenij, On finite time delay dependent stability of linear discrete delay systems: Numerical solution approach",
pages = "45-39",
number = "3",
volume = "65",
doi = "10.5937/STR1503039D"
}
Debeljković, D. Lj., Cvetković, A., Buzurović, I., Mišić, M.,& Janković, V.. (2015). Stabilnost na konačnom vremenskom intervalu, zavisna od kašnjenja, linearnih diskretnih sistema sa kašnjenjem - prilaz sa pozicija numeričkog rešavanja. in Scientific Technical Review
Vojnotehnički institut, Beograd., 65(3), 39-45.
https://doi.org/10.5937/STR1503039D
Debeljković DL, Cvetković A, Buzurović I, Mišić M, Janković V. Stabilnost na konačnom vremenskom intervalu, zavisna od kašnjenja, linearnih diskretnih sistema sa kašnjenjem - prilaz sa pozicija numeričkog rešavanja. in Scientific Technical Review. 2015;65(3):39-45.
doi:10.5937/STR1503039D .
Debeljković, Dragutin Lj., Cvetković, Aleksandar, Buzurović, Ivan, Mišić, Milan, Janković, Vladimir, "Stabilnost na konačnom vremenskom intervalu, zavisna od kašnjenja, linearnih diskretnih sistema sa kašnjenjem - prilaz sa pozicija numeričkog rešavanja" in Scientific Technical Review, 65, no. 3 (2015):39-45,
https://doi.org/10.5937/STR1503039D . .

Dinamika velikih industrijskih procesa i postrojenja

Debeljković, Dragutin; Nestorović, Tamara; Lazarević, Mihailo; Simeunović, Goran; Dimitrijević, Nebojša

(Univerzitet u Beogradu, Mašinski fakultet, 2015)

TY  - BOOK
AU  - Debeljković, Dragutin
AU  - Nestorović, Tamara
AU  - Lazarević, Mihailo
AU  - Simeunović, Goran
AU  - Dimitrijević, Nebojša
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6752
AB  - Ova monografija sadrži i obuhvata osnovne principe matematičkog modeliranja mašinskih i tehničko-tehnoloških objekata i procesa. Materija je data u nešto širem obimu nego uobičajeno zahavaljujući dubokoj, svestranoj i sistematskoj analizi usvojenih pretpostavki, njihovoj opravdanosti kao i posledica koje iz tih uprošćenja proističu. Izneta razmatranja, u tom smislu, oslanjaju se na materiju koja se izlaže u okviru fundamentalnih oblasti kao što su Mehanika, Termodinamika, Mehanika fluida i u manjoj meri Teorija upravljanja. Na bazi usvojenih modela korišćenjem osnovnih zakona fizike, izraženih u vidu osnovnih zakona konzervacije ispisanih za nestacionarne radne režime,  rezultuju prvo nelinearni a zatim linearizovani matematički modeli razmatranih objekata  i procesa, dati u vidu sistema diferencijalnih jednačina ponašanja, prenosnih funkcija  ili u odgovarajućim matričnim reprezentacijama modela u prostoru stanja.
Konkretizujući dobijene rezultate, kroz numeričke vrednosti aktuelnih parametara  modela, pruža se mogućnost da se isti efikasno iskoriste u analizi statičkih i dinamičkih  osobina objekata i procesa ili u postupcima sinteze upravljačkih delova sistema,  shodno usvojenim konceptima upravljanja.
Imajući u vidu da je formiranje matematičkih modela, prvenstveno, motivisano ciljevima istraživanjima i da se jednom te istom objektu ili procesu može dodeliti  više različitih modela, kvalitativna analiza njihove verodostojnosti može se inicijalno  sprovesti riguroznom analizom stepena uvedenih idealizacija i detaljnim preispitivanjem  evidentnih pojednostavljenja proisteklih iz neminovnih matematičkih aproksimacija,kako bi se u krajnjoj instanci izbegao čisto akademski modeli.
Ova monografija nastavlja i produbljuje, ranije izučavane tematske oblasti, i u znatnoj meri ih proširuje stavljajući povremeno, u žižu interesovanja, još neke atipične  odabrane procese i postrojenja. Njen poseban doprinos se ogleda u činjenici, da su se autori, po prvi put, pozabavili livenjem, kako klasičnim tako i pod visokim pritiscima, što je danas jedna od aktuelnih i propulzivnih oblasti u industriji.
PB  - Univerzitet u Beogradu, Mašinski fakultet
T2  - Univerzitet  u Beogradu,  Mašinski fakultet   (COBISS.SR – ID 215671308)
T1  - Dinamika velikih industrijskih procesa i postrojenja
EP  - 444
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6752
ER  - 
@book{
author = "Debeljković, Dragutin and Nestorović, Tamara and Lazarević, Mihailo and Simeunović, Goran and Dimitrijević, Nebojša",
year = "2015",
abstract = "Ova monografija sadrži i obuhvata osnovne principe matematičkog modeliranja mašinskih i tehničko-tehnoloških objekata i procesa. Materija je data u nešto širem obimu nego uobičajeno zahavaljujući dubokoj, svestranoj i sistematskoj analizi usvojenih pretpostavki, njihovoj opravdanosti kao i posledica koje iz tih uprošćenja proističu. Izneta razmatranja, u tom smislu, oslanjaju se na materiju koja se izlaže u okviru fundamentalnih oblasti kao što su Mehanika, Termodinamika, Mehanika fluida i u manjoj meri Teorija upravljanja. Na bazi usvojenih modela korišćenjem osnovnih zakona fizike, izraženih u vidu osnovnih zakona konzervacije ispisanih za nestacionarne radne režime,  rezultuju prvo nelinearni a zatim linearizovani matematički modeli razmatranih objekata  i procesa, dati u vidu sistema diferencijalnih jednačina ponašanja, prenosnih funkcija  ili u odgovarajućim matričnim reprezentacijama modela u prostoru stanja.
Konkretizujući dobijene rezultate, kroz numeričke vrednosti aktuelnih parametara  modela, pruža se mogućnost da se isti efikasno iskoriste u analizi statičkih i dinamičkih  osobina objekata i procesa ili u postupcima sinteze upravljačkih delova sistema,  shodno usvojenim konceptima upravljanja.
Imajući u vidu da je formiranje matematičkih modela, prvenstveno, motivisano ciljevima istraživanjima i da se jednom te istom objektu ili procesu može dodeliti  više različitih modela, kvalitativna analiza njihove verodostojnosti može se inicijalno  sprovesti riguroznom analizom stepena uvedenih idealizacija i detaljnim preispitivanjem  evidentnih pojednostavljenja proisteklih iz neminovnih matematičkih aproksimacija,kako bi se u krajnjoj instanci izbegao čisto akademski modeli.
Ova monografija nastavlja i produbljuje, ranije izučavane tematske oblasti, i u znatnoj meri ih proširuje stavljajući povremeno, u žižu interesovanja, još neke atipične  odabrane procese i postrojenja. Njen poseban doprinos se ogleda u činjenici, da su se autori, po prvi put, pozabavili livenjem, kako klasičnim tako i pod visokim pritiscima, što je danas jedna od aktuelnih i propulzivnih oblasti u industriji.",
publisher = "Univerzitet u Beogradu, Mašinski fakultet",
journal = "Univerzitet  u Beogradu,  Mašinski fakultet   (COBISS.SR – ID 215671308)",
title = "Dinamika velikih industrijskih procesa i postrojenja",
pages = "444-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6752"
}
Debeljković, D., Nestorović, T., Lazarević, M., Simeunović, G.,& Dimitrijević, N.. (2015). Dinamika velikih industrijskih procesa i postrojenja. in Univerzitet  u Beogradu,  Mašinski fakultet   (COBISS.SR – ID 215671308)
Univerzitet u Beogradu, Mašinski fakultet., 1-444.
https://hdl.handle.net/21.15107/rcub_machinery_6752
Debeljković D, Nestorović T, Lazarević M, Simeunović G, Dimitrijević N. Dinamika velikih industrijskih procesa i postrojenja. in Univerzitet  u Beogradu,  Mašinski fakultet   (COBISS.SR – ID 215671308). 2015;:1-444.
https://hdl.handle.net/21.15107/rcub_machinery_6752 .
Debeljković, Dragutin, Nestorović, Tamara, Lazarević, Mihailo, Simeunović, Goran, Dimitrijević, Nebojša, "Dinamika velikih industrijskih procesa i postrojenja" in Univerzitet  u Beogradu,  Mašinski fakultet   (COBISS.SR – ID 215671308) (2015):1-444,
https://hdl.handle.net/21.15107/rcub_machinery_6752 .

Delay Dependent Finite Time Stability of Discrete Time Delay Systems: Towards the New Solution

Buzurović, Ivan; Cvetković, Aleksandar; Debeljković, Dragutin Lj.

(Destech Publications, Inc, Lancaster, 2015)

TY  - CONF
AU  - Buzurović, Ivan
AU  - Cvetković, Aleksandar
AU  - Debeljković, Dragutin Lj.
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2209
AB  - In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems represented as x(k+1) = A0(k) + A1x(k-h). The time delay-dependent criteria have been derived. In addition, the significance of the nonlinear discrete polynomial matrix equation is explained. With the use of the mathematical formalism based on the Traub and Bernoulli's algorithms, it was concluded that the computation of the dominant solvent of the matrix polynomial equation does not guarantee a necessary convergence in all cases, unlike in the traditional numerical procedures. In this paper, we presented one particular solution valid in the case when the discrete matrix equation was presented in its factorial form. The numerical computations are performed to illustrate the suggested results.
PB  - Destech Publications, Inc, Lancaster
C3  - 2015 International Conference on Applied Mechanics and Mechatronics Engineering (Amme 2015)
T1  - Delay Dependent Finite Time Stability of Discrete Time Delay Systems: Towards the New Solution
EP  - 233
SP  - 228
UR  - https://hdl.handle.net/21.15107/rcub_machinery_2209
ER  - 
@conference{
author = "Buzurović, Ivan and Cvetković, Aleksandar and Debeljković, Dragutin Lj.",
year = "2015",
abstract = "In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems represented as x(k+1) = A0(k) + A1x(k-h). The time delay-dependent criteria have been derived. In addition, the significance of the nonlinear discrete polynomial matrix equation is explained. With the use of the mathematical formalism based on the Traub and Bernoulli's algorithms, it was concluded that the computation of the dominant solvent of the matrix polynomial equation does not guarantee a necessary convergence in all cases, unlike in the traditional numerical procedures. In this paper, we presented one particular solution valid in the case when the discrete matrix equation was presented in its factorial form. The numerical computations are performed to illustrate the suggested results.",
publisher = "Destech Publications, Inc, Lancaster",
journal = "2015 International Conference on Applied Mechanics and Mechatronics Engineering (Amme 2015)",
title = "Delay Dependent Finite Time Stability of Discrete Time Delay Systems: Towards the New Solution",
pages = "233-228",
url = "https://hdl.handle.net/21.15107/rcub_machinery_2209"
}
Buzurović, I., Cvetković, A.,& Debeljković, D. Lj.. (2015). Delay Dependent Finite Time Stability of Discrete Time Delay Systems: Towards the New Solution. in 2015 International Conference on Applied Mechanics and Mechatronics Engineering (Amme 2015)
Destech Publications, Inc, Lancaster., 228-233.
https://hdl.handle.net/21.15107/rcub_machinery_2209
Buzurović I, Cvetković A, Debeljković DL. Delay Dependent Finite Time Stability of Discrete Time Delay Systems: Towards the New Solution. in 2015 International Conference on Applied Mechanics and Mechatronics Engineering (Amme 2015). 2015;:228-233.
https://hdl.handle.net/21.15107/rcub_machinery_2209 .
Buzurović, Ivan, Cvetković, Aleksandar, Debeljković, Dragutin Lj., "Delay Dependent Finite Time Stability of Discrete Time Delay Systems: Towards the New Solution" in 2015 International Conference on Applied Mechanics and Mechatronics Engineering (Amme 2015) (2015):228-233,
https://hdl.handle.net/21.15107/rcub_machinery_2209 .

Stability of Discrete-Time Fractional Order Systems considered: An Approach Based on Stability of Discrete-Time Integer Order Time-Delay Systems

Stojanović, Sreten; Debeljković, Dragutin; Lazarević, Mihailo

(WSEAS Press, 2014)

TY  - CHAP
AU  - Stojanović, Sreten
AU  - Debeljković, Dragutin
AU  - Lazarević, Mihailo
PY  - 2014
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6685
AB  - In this paper the problem of stability of linear discrete-time fractional order systems is addressed. It
was shown that some stability criteria for discrete time-delay systems could be applied with small changes to discrete fractional order state-space systems. Accordingly, simple conditions for the stability and robust stability of a particular class of linear discrete time-delay systems are derived. These results are modified and used for checking the stability of discrete-time fractional order systems. The systems under consideration involve time delays in the state and parameter uncertainties. The parameter uncertainties are assumed to be time-varying and norm bounded. New Lyapunov–Krasovskii functional is constructed to derive some delay dependent stability criteria. The proposed methods give both sufficient and necessary and sufficient stability
conditions. Numerical examples have been worked out to show the applicability of the derived results.
PB  - WSEAS Press
T2  - Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling
T1  - Stability of Discrete-Time Fractional Order Systems considered: An Approach Based on Stability of Discrete-Time Integer Order Time-Delay Systems
EP  - 87
SP  - 67
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6685
ER  - 
@inbook{
author = "Stojanović, Sreten and Debeljković, Dragutin and Lazarević, Mihailo",
year = "2014",
abstract = "In this paper the problem of stability of linear discrete-time fractional order systems is addressed. It
was shown that some stability criteria for discrete time-delay systems could be applied with small changes to discrete fractional order state-space systems. Accordingly, simple conditions for the stability and robust stability of a particular class of linear discrete time-delay systems are derived. These results are modified and used for checking the stability of discrete-time fractional order systems. The systems under consideration involve time delays in the state and parameter uncertainties. The parameter uncertainties are assumed to be time-varying and norm bounded. New Lyapunov–Krasovskii functional is constructed to derive some delay dependent stability criteria. The proposed methods give both sufficient and necessary and sufficient stability
conditions. Numerical examples have been worked out to show the applicability of the derived results.",
publisher = "WSEAS Press",
journal = "Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling",
booktitle = "Stability of Discrete-Time Fractional Order Systems considered: An Approach Based on Stability of Discrete-Time Integer Order Time-Delay Systems",
pages = "87-67",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6685"
}
Stojanović, S., Debeljković, D.,& Lazarević, M.. (2014). Stability of Discrete-Time Fractional Order Systems considered: An Approach Based on Stability of Discrete-Time Integer Order Time-Delay Systems. in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling
WSEAS Press., 67-87.
https://hdl.handle.net/21.15107/rcub_machinery_6685
Stojanović S, Debeljković D, Lazarević M. Stability of Discrete-Time Fractional Order Systems considered: An Approach Based on Stability of Discrete-Time Integer Order Time-Delay Systems. in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling. 2014;:67-87.
https://hdl.handle.net/21.15107/rcub_machinery_6685 .
Stojanović, Sreten, Debeljković, Dragutin, Lazarević, Mihailo, "Stability of Discrete-Time Fractional Order Systems considered: An Approach Based on Stability of Discrete-Time Integer Order Time-Delay Systems" in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling (2014):67-87,
https://hdl.handle.net/21.15107/rcub_machinery_6685 .

Neljapunovska stabilnost singularnih sistema - klasičan i moderan prilaz sa primenom u automatskoj isporuci lekova

Debeljković, Dragutin Lj.; Buzurović, Ivan; Matija, Lidija; Koruga, Đuro

(2013)

TY  - JOUR
AU  - Debeljković, Dragutin Lj.
AU  - Buzurović, Ivan
AU  - Matija, Lidija
AU  - Koruga, Đuro
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1611
AB  - U ovom radu izvedeni su dovoljni uslovi praktične stabilnosti i stabilnosti na konačnom vremenskom intervalu za klasu linearnih vremenski neprekidnih singularnih sistema sa čistim vremenskim kašnjenjem. Singularni sistemi i singularni sistemi sa čistim vremenskim kašnjenjem mogu biti matematički opisani jednačinama tipa: Ex(t) = Ax(t) i Ex(t) = A0x(t) - A1x(t - ), sledstveno. Analizirajući stabilnost na konačnom vremenskom intervalu izvedeni su novi uslovi, i to zavisni i nezavisni od vremenskog kašnjenja. Predloženi prilaz se zasniva na upotrebi Ljapunovljevih funkcija i njihovim osobinama na potprostoru konzistentinh početnih funkcija ili uslova. Ove funkcije ne moraju biti pozitivno određene u celom prostoru stanja, niti negativno određene duž trajektorija sistema. Kada se razmatra praktična stabilnost, ovaj prilaz se kombinuje sa klasičnom ljapunovskom tehnikom koja garantuje osobinu privlačenja sistema. U cilju dobijanja manje konzervativnih rezultata, korišćena je i LMI metoda. Predloženi metod primenjen je i testiran na jednom medicinskom robotskom sistemu. Sistem je dizajniran za različite namene, kao što su automatska isporuka medikamenata, biopsija ili isporuka radioaktivnih zrnaca unutar obolelog tkiva. Za takav sistem razvijena je posebna tehnika modeliranja, upravljanja i analize stabilnosti opisanog sistema. U svrhu matematičkog modeliranja, sistem je dekomponovan na mehanički deo i na radnu okolinu koja presudno utiče na dinamičko ponašanje. Ovakav pristup se pokazao adekvatnim u slučaju kada spoljašnje sile utiču na dinamiku sistema. Dobijen matematički model se analizira kao singularni sistem automatskog upravljanja. U slučaju kada se uticaj spoljašnjih sila može zanemariti, dinamičko ponašanje se analizira klasičnim metodama teorije upravljanja.
AB  - In this paper sufficient conditions for both practical and finite time stability of linear singular continuous time delay systems were introduced. The singular and singular time delay systems can be mathematically described as Ex (t) = Ax (t) and Ex (t) = A0x (t) + A1x (t-), respectively. Analyzing finite time stability, the new delay independent and delay dependent conditions were derived using the approaches based on Lyapunov-like functions and their properties on the subspace of consistent initial conditions. These functions do not need to be positive on the whole state space and to have negative derivatives along the system trajectories. When the practical stability was analyzed, the approach was combined with classical Lyapunov technique to guarantee the attractivity property of the system behavior. Furthermore, an LMI approach was applied to obtain less conservative stability conditions. The proposed methodology was applied and tested on a medical robotic system. The system was designed for different insertion tasks playing important roles in automatic drug delivery, biopsy or radioactive seeds delivery. In this paper we have summarized different techniques for adequate modeling, control and stability analysis of the medical robots. The model of the robotic system, with the tasks described above, the entire system can be decomposed to the robotic subsystem and the environment subsystem. Modeling of the system by the method mentioned has been proved to be suitable when the force appears as a result of the interaction of the two subsystems. The mathematical model of the system has a singular characteristic. The singular system theory could be applied to the case described. It is well known that all mechanical systems have some delay. In that case a theory of singular systems with delayed states may be applied, as well. For the second phase in which there is no interaction, the dynamic behavior can be analyzed by the classic theory.
T2  - Contemporary materials
T1  - Neljapunovska stabilnost singularnih sistema - klasičan i moderan prilaz sa primenom u automatskoj isporuci lekova
T1  - Non-Lyapunov stability of singular systems: Classical and modern approaches with application to automatic drug delivery
EP  - 32
IS  - 1
SP  - 22
VL  - 4
DO  - 10.7251/COMEN1301022D
ER  - 
@article{
author = "Debeljković, Dragutin Lj. and Buzurović, Ivan and Matija, Lidija and Koruga, Đuro",
year = "2013",
abstract = "U ovom radu izvedeni su dovoljni uslovi praktične stabilnosti i stabilnosti na konačnom vremenskom intervalu za klasu linearnih vremenski neprekidnih singularnih sistema sa čistim vremenskim kašnjenjem. Singularni sistemi i singularni sistemi sa čistim vremenskim kašnjenjem mogu biti matematički opisani jednačinama tipa: Ex(t) = Ax(t) i Ex(t) = A0x(t) - A1x(t - ), sledstveno. Analizirajući stabilnost na konačnom vremenskom intervalu izvedeni su novi uslovi, i to zavisni i nezavisni od vremenskog kašnjenja. Predloženi prilaz se zasniva na upotrebi Ljapunovljevih funkcija i njihovim osobinama na potprostoru konzistentinh početnih funkcija ili uslova. Ove funkcije ne moraju biti pozitivno određene u celom prostoru stanja, niti negativno određene duž trajektorija sistema. Kada se razmatra praktična stabilnost, ovaj prilaz se kombinuje sa klasičnom ljapunovskom tehnikom koja garantuje osobinu privlačenja sistema. U cilju dobijanja manje konzervativnih rezultata, korišćena je i LMI metoda. Predloženi metod primenjen je i testiran na jednom medicinskom robotskom sistemu. Sistem je dizajniran za različite namene, kao što su automatska isporuka medikamenata, biopsija ili isporuka radioaktivnih zrnaca unutar obolelog tkiva. Za takav sistem razvijena je posebna tehnika modeliranja, upravljanja i analize stabilnosti opisanog sistema. U svrhu matematičkog modeliranja, sistem je dekomponovan na mehanički deo i na radnu okolinu koja presudno utiče na dinamičko ponašanje. Ovakav pristup se pokazao adekvatnim u slučaju kada spoljašnje sile utiču na dinamiku sistema. Dobijen matematički model se analizira kao singularni sistem automatskog upravljanja. U slučaju kada se uticaj spoljašnjih sila može zanemariti, dinamičko ponašanje se analizira klasičnim metodama teorije upravljanja., In this paper sufficient conditions for both practical and finite time stability of linear singular continuous time delay systems were introduced. The singular and singular time delay systems can be mathematically described as Ex (t) = Ax (t) and Ex (t) = A0x (t) + A1x (t-), respectively. Analyzing finite time stability, the new delay independent and delay dependent conditions were derived using the approaches based on Lyapunov-like functions and their properties on the subspace of consistent initial conditions. These functions do not need to be positive on the whole state space and to have negative derivatives along the system trajectories. When the practical stability was analyzed, the approach was combined with classical Lyapunov technique to guarantee the attractivity property of the system behavior. Furthermore, an LMI approach was applied to obtain less conservative stability conditions. The proposed methodology was applied and tested on a medical robotic system. The system was designed for different insertion tasks playing important roles in automatic drug delivery, biopsy or radioactive seeds delivery. In this paper we have summarized different techniques for adequate modeling, control and stability analysis of the medical robots. The model of the robotic system, with the tasks described above, the entire system can be decomposed to the robotic subsystem and the environment subsystem. Modeling of the system by the method mentioned has been proved to be suitable when the force appears as a result of the interaction of the two subsystems. The mathematical model of the system has a singular characteristic. The singular system theory could be applied to the case described. It is well known that all mechanical systems have some delay. In that case a theory of singular systems with delayed states may be applied, as well. For the second phase in which there is no interaction, the dynamic behavior can be analyzed by the classic theory.",
journal = "Contemporary materials",
title = "Neljapunovska stabilnost singularnih sistema - klasičan i moderan prilaz sa primenom u automatskoj isporuci lekova, Non-Lyapunov stability of singular systems: Classical and modern approaches with application to automatic drug delivery",
pages = "32-22",
number = "1",
volume = "4",
doi = "10.7251/COMEN1301022D"
}
Debeljković, D. Lj., Buzurović, I., Matija, L.,& Koruga, Đ.. (2013). Neljapunovska stabilnost singularnih sistema - klasičan i moderan prilaz sa primenom u automatskoj isporuci lekova. in Contemporary materials, 4(1), 22-32.
https://doi.org/10.7251/COMEN1301022D
Debeljković DL, Buzurović I, Matija L, Koruga Đ. Neljapunovska stabilnost singularnih sistema - klasičan i moderan prilaz sa primenom u automatskoj isporuci lekova. in Contemporary materials. 2013;4(1):22-32.
doi:10.7251/COMEN1301022D .
Debeljković, Dragutin Lj., Buzurović, Ivan, Matija, Lidija, Koruga, Đuro, "Neljapunovska stabilnost singularnih sistema - klasičan i moderan prilaz sa primenom u automatskoj isporuci lekova" in Contemporary materials, 4, no. 1 (2013):22-32,
https://doi.org/10.7251/COMEN1301022D . .

On practical stability of time delayed systems: delay independent and delay dependent criteria

Debeljković, Dragutin; Stojanovic, Sreten; Lazarević, Mihailo; Nestorović, Tamara; Simeunović, Goran

(Argentine: Argentine Association of Automatic Control ( Asociacion Argentino de Control Automático), 2012)

TY  - CONF
AU  - Debeljković, Dragutin
AU  - Stojanovic, Sreten
AU  - Lazarević, Mihailo
AU  - Nestorović, Tamara
AU  - Simeunović, Goran
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4669
AB  - The article provides sufficient conditions for both practical and finite time stability of
linear continuous time delay systems described as dx/dt=A0x(t)+A1 x(t-tau)  . Considering a finite
time stability concept, the new delay independent conditions have been derived using the
approach based on the Lyapunov–like functions. These functions do not need to have the
properties of positivity in the whole state space and negative derivatives along the system
trajectories. When the practical stability has been analyzed the above mentioned approach was
combined and supported by the classical Lyapunov technique to guarantee the attractivity
property of the system behavior.
PB  - Argentine: Argentine Association of Automatic Control ( Asociacion  Argentino de Control Automático)
C3  - Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina
T1  - On practical stability of time delayed systems: delay independent and delay dependent criteria
EP  - 8
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4669
ER  - 
@conference{
author = "Debeljković, Dragutin and Stojanovic, Sreten and Lazarević, Mihailo and Nestorović, Tamara and Simeunović, Goran",
year = "2012",
abstract = "The article provides sufficient conditions for both practical and finite time stability of
linear continuous time delay systems described as dx/dt=A0x(t)+A1 x(t-tau)  . Considering a finite
time stability concept, the new delay independent conditions have been derived using the
approach based on the Lyapunov–like functions. These functions do not need to have the
properties of positivity in the whole state space and negative derivatives along the system
trajectories. When the practical stability has been analyzed the above mentioned approach was
combined and supported by the classical Lyapunov technique to guarantee the attractivity
property of the system behavior.",
publisher = "Argentine: Argentine Association of Automatic Control ( Asociacion  Argentino de Control Automático)",
journal = "Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina",
title = "On practical stability of time delayed systems: delay independent and delay dependent criteria",
pages = "8-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4669"
}
Debeljković, D., Stojanovic, S., Lazarević, M., Nestorović, T.,& Simeunović, G.. (2012). On practical stability of time delayed systems: delay independent and delay dependent criteria. in Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina
Argentine: Argentine Association of Automatic Control ( Asociacion  Argentino de Control Automático)., 1-8.
https://hdl.handle.net/21.15107/rcub_machinery_4669
Debeljković D, Stojanovic S, Lazarević M, Nestorović T, Simeunović G. On practical stability of time delayed systems: delay independent and delay dependent criteria. in Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina. 2012;:1-8.
https://hdl.handle.net/21.15107/rcub_machinery_4669 .
Debeljković, Dragutin, Stojanovic, Sreten, Lazarević, Mihailo, Nestorović, Tamara, Simeunović, Goran, "On practical stability of time delayed systems: delay independent and delay dependent criteria" in Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina (2012):1-8,
https://hdl.handle.net/21.15107/rcub_machinery_4669 .

Robust Finite Time Stability of Perturbed Nonlinear Fractional Order Time Delay Systems

Lazarević, Mihailo; Debeljković, Dragutin

(IFAC, 2007)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Debeljković, Dragutin
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5320
AB  - In  this paper, a robust stability test procedure is proposed for perturbed nonlinear autonomous time delay fractional order systems. It is examined the problem of sufficient conditions that enable system trajectories to stay within the a priori given sets for the particular class of nonlinear autonomous fractional order time-delay systems.
PB  - IFAC
PB  - Turkey, Izmir: Dokuz, Eylul University Press
C3  - Proceedings of 5th IFAC Workshop DECOM -TT 2007, Cesme-Izmir, Turkey, 17-20 May, 2007.
T1  - Robust Finite Time Stability of Perturbed Nonlinear Fractional Order Time Delay Systems
SP  - 375
VL  - 381
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5320
ER  - 
@conference{
author = "Lazarević, Mihailo and Debeljković, Dragutin",
year = "2007",
abstract = "In  this paper, a robust stability test procedure is proposed for perturbed nonlinear autonomous time delay fractional order systems. It is examined the problem of sufficient conditions that enable system trajectories to stay within the a priori given sets for the particular class of nonlinear autonomous fractional order time-delay systems.",
publisher = "IFAC, Turkey, Izmir: Dokuz, Eylul University Press",
journal = "Proceedings of 5th IFAC Workshop DECOM -TT 2007, Cesme-Izmir, Turkey, 17-20 May, 2007.",
title = "Robust Finite Time Stability of Perturbed Nonlinear Fractional Order Time Delay Systems",
pages = "375",
volume = "381",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5320"
}
Lazarević, M.,& Debeljković, D.. (2007). Robust Finite Time Stability of Perturbed Nonlinear Fractional Order Time Delay Systems. in Proceedings of 5th IFAC Workshop DECOM -TT 2007, Cesme-Izmir, Turkey, 17-20 May, 2007.
IFAC., 381, 375.
https://hdl.handle.net/21.15107/rcub_machinery_5320
Lazarević M, Debeljković D. Robust Finite Time Stability of Perturbed Nonlinear Fractional Order Time Delay Systems. in Proceedings of 5th IFAC Workshop DECOM -TT 2007, Cesme-Izmir, Turkey, 17-20 May, 2007.. 2007;381:375.
https://hdl.handle.net/21.15107/rcub_machinery_5320 .
Lazarević, Mihailo, Debeljković, Dragutin, "Robust Finite Time Stability of Perturbed Nonlinear Fractional Order Time Delay Systems" in Proceedings of 5th IFAC Workshop DECOM -TT 2007, Cesme-Izmir, Turkey, 17-20 May, 2007., 381 (2007):375,
https://hdl.handle.net/21.15107/rcub_machinery_5320 .

Discrete Time Delayed System Stability Theory in the sense of Lyapunov: Further Results

Debeljković, Dragutin; Lazarević, Mihailo; Stojanović, Sreten; Jovanović, Mića; Jacić, Ljubomir

(IFAC, 2005)

TY  - CONF
AU  - Debeljković, Dragutin
AU  - Lazarević, Mihailo
AU  - Stojanović, Sreten
AU  - Jovanović, Mića
AU  - Jacić, Ljubomir
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5497
AB  - Our aim is to improve the existing results concerning asymptotic stability
of a particular class of linear discrete time delay systems. This paper extends one of
the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time
invariant time-delay systems. This result is given in the form of only sufficient
conditions and represent further improvement of the existing results concerning the
asymptotic stability of systems described by vector state representation of the form
x(k +1) = A0x(k) + A1x(k −1) . This result is less conservative than those in existing
literature
PB  - IFAC
C3  - Proc. 1st International Workshop on Advanced Control Circuits and Systems (ACCS 2005), Cairo 2005., Egypt, March 06 – 10 2005, pp. 1-6
T1  - Discrete Time Delayed System Stability Theory in the sense of Lyapunov: Further Results
EP  - 6
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5497
ER  - 
@conference{
author = "Debeljković, Dragutin and Lazarević, Mihailo and Stojanović, Sreten and Jovanović, Mića and Jacić, Ljubomir",
year = "2005",
abstract = "Our aim is to improve the existing results concerning asymptotic stability
of a particular class of linear discrete time delay systems. This paper extends one of
the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time
invariant time-delay systems. This result is given in the form of only sufficient
conditions and represent further improvement of the existing results concerning the
asymptotic stability of systems described by vector state representation of the form
x(k +1) = A0x(k) + A1x(k −1) . This result is less conservative than those in existing
literature",
publisher = "IFAC",
journal = "Proc. 1st International Workshop on Advanced Control Circuits and Systems (ACCS 2005), Cairo 2005., Egypt, March 06 – 10 2005, pp. 1-6",
title = "Discrete Time Delayed System Stability Theory in the sense of Lyapunov: Further Results",
pages = "6-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5497"
}
Debeljković, D., Lazarević, M., Stojanović, S., Jovanović, M.,& Jacić, L.. (2005). Discrete Time Delayed System Stability Theory in the sense of Lyapunov: Further Results. in Proc. 1st International Workshop on Advanced Control Circuits and Systems (ACCS 2005), Cairo 2005., Egypt, March 06 – 10 2005, pp. 1-6
IFAC., 1-6.
https://hdl.handle.net/21.15107/rcub_machinery_5497
Debeljković D, Lazarević M, Stojanović S, Jovanović M, Jacić L. Discrete Time Delayed System Stability Theory in the sense of Lyapunov: Further Results. in Proc. 1st International Workshop on Advanced Control Circuits and Systems (ACCS 2005), Cairo 2005., Egypt, March 06 – 10 2005, pp. 1-6. 2005;:1-6.
https://hdl.handle.net/21.15107/rcub_machinery_5497 .
Debeljković, Dragutin, Lazarević, Mihailo, Stojanović, Sreten, Jovanović, Mića, Jacić, Ljubomir, "Discrete Time Delayed System Stability Theory in the sense of Lyapunov: Further Results" in Proc. 1st International Workshop on Advanced Control Circuits and Systems (ACCS 2005), Cairo 2005., Egypt, March 06 – 10 2005, pp. 1-6 (2005):1-6,
https://hdl.handle.net/21.15107/rcub_machinery_5497 .

Discrete time delayed system stability theory in the sense of Lyapunov: New results

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Stojanović, S.B.; Jovanović, M.B.; Milinković, Stevan A.

(Watam Press, Waterloo, 2005)

TY  - JOUR
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Stojanović, S.B.
AU  - Jovanović, M.B.
AU  - Milinković, Stevan A.
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/508
AB  - Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k + 1) = A(o)x(k) + A(1)x(k - 1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.
PB  - Watam Press, Waterloo
T2  - Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms
T1  - Discrete time delayed system stability theory in the sense of Lyapunov: New results
EP  - 443
SP  - 431
VL  - 12
UR  - https://hdl.handle.net/21.15107/rcub_machinery_508
ER  - 
@article{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Stojanović, S.B. and Jovanović, M.B. and Milinković, Stevan A.",
year = "2005",
abstract = "Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k + 1) = A(o)x(k) + A(1)x(k - 1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.",
publisher = "Watam Press, Waterloo",
journal = "Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms",
title = "Discrete time delayed system stability theory in the sense of Lyapunov: New results",
pages = "443-431",
volume = "12",
url = "https://hdl.handle.net/21.15107/rcub_machinery_508"
}
Debeljković, D. Lj., Lazarević, M., Stojanović, S.B., Jovanović, M.B.,& Milinković, S. A.. (2005). Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms
Watam Press, Waterloo., 12, 431-443.
https://hdl.handle.net/21.15107/rcub_machinery_508
Debeljković DL, Lazarević M, Stojanović S, Jovanović M, Milinković SA. Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms. 2005;12:431-443.
https://hdl.handle.net/21.15107/rcub_machinery_508 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Stojanović, S.B., Jovanović, M.B., Milinković, Stevan A., "Discrete time delayed system stability theory in the sense of Lyapunov: New results" in Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms, 12 (2005):431-443,
https://hdl.handle.net/21.15107/rcub_machinery_508 .

Finite time stability analysis of linear autonomous fractional order systems with delayed state

Lazarević, Mihailo; Debeljković, Dragutin Lj.

(National Taiwan University, 2005)

TY  - JOUR
AU  - Lazarević, Mihailo
AU  - Debeljković, Dragutin Lj.
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/477
AB  - For the first time, in this paper, a stability test procedure is proposed for linear time-invariant fractional order systems (LTI FOS). Paper extends some basic results from the area of finite time and practical stability to linear, continuous, fractional order time invariant time-delay systems given in state space form. Sufficient conditions of this kind of stability, for particular class of fractional time-delay systems is derived.
PB  - National Taiwan University
T2  - Asian Journal of Control
T1  - Finite time stability analysis of linear autonomous fractional order systems with delayed state
EP  - 447
IS  - 4
SP  - 440
VL  - 7
DO  - 10.1111/j.1934-6093.2005.tb00407.x
ER  - 
@article{
author = "Lazarević, Mihailo and Debeljković, Dragutin Lj.",
year = "2005",
abstract = "For the first time, in this paper, a stability test procedure is proposed for linear time-invariant fractional order systems (LTI FOS). Paper extends some basic results from the area of finite time and practical stability to linear, continuous, fractional order time invariant time-delay systems given in state space form. Sufficient conditions of this kind of stability, for particular class of fractional time-delay systems is derived.",
publisher = "National Taiwan University",
journal = "Asian Journal of Control",
title = "Finite time stability analysis of linear autonomous fractional order systems with delayed state",
pages = "447-440",
number = "4",
volume = "7",
doi = "10.1111/j.1934-6093.2005.tb00407.x"
}
Lazarević, M.,& Debeljković, D. Lj.. (2005). Finite time stability analysis of linear autonomous fractional order systems with delayed state. in Asian Journal of Control
National Taiwan University., 7(4), 440-447.
https://doi.org/10.1111/j.1934-6093.2005.tb00407.x
Lazarević M, Debeljković DL. Finite time stability analysis of linear autonomous fractional order systems with delayed state. in Asian Journal of Control. 2005;7(4):440-447.
doi:10.1111/j.1934-6093.2005.tb00407.x .
Lazarević, Mihailo, Debeljković, Dragutin Lj., "Finite time stability analysis of linear autonomous fractional order systems with delayed state" in Asian Journal of Control, 7, no. 4 (2005):440-447,
https://doi.org/10.1111/j.1934-6093.2005.tb00407.x . .
47
47

Discrete time delayed system stability theory in the sense of Lyapunov: an application to chemical engineering and process technology

Debeljković, Dragutin; Lazarević, Mihailo; Stojanović, Sreten; Jovanović, Mića; Milinković, Stevan

(Prague: Czech society of chemical engineering, 2004)

TY  - CONF
AU  - Debeljković, Dragutin
AU  - Lazarević, Mihailo
AU  - Stojanović, Sreten
AU  - Jovanović, Mića
AU  - Milinković, Stevan
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5553
AB  - Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems.
This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k +1) = A0x(k) + A1x(k −1) . This result is less conservative than those in existing literature. It has been shown the direct application, of results derived to the particular class of chemical processes. To the best knowledge of the authors, such result have not yet been reported.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic ,P5.3
T1  - Discrete time delayed system stability theory in the sense of Lyapunov: an application to chemical engineering and process technology
EP  - 7
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5553
ER  - 
@conference{
author = "Debeljković, Dragutin and Lazarević, Mihailo and Stojanović, Sreten and Jovanović, Mića and Milinković, Stevan",
year = "2004",
abstract = "Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems.
This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k +1) = A0x(k) + A1x(k −1) . This result is less conservative than those in existing literature. It has been shown the direct application, of results derived to the particular class of chemical processes. To the best knowledge of the authors, such result have not yet been reported.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic ,P5.3",
title = "Discrete time delayed system stability theory in the sense of Lyapunov: an application to chemical engineering and process technology",
pages = "7-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5553"
}
Debeljković, D., Lazarević, M., Stojanović, S., Jovanović, M.,& Milinković, S.. (2004). Discrete time delayed system stability theory in the sense of Lyapunov: an application to chemical engineering and process technology. in Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic ,P5.3
Prague:  Czech society  of chemical engineering., 1-7.
https://hdl.handle.net/21.15107/rcub_machinery_5553
Debeljković D, Lazarević M, Stojanović S, Jovanović M, Milinković S. Discrete time delayed system stability theory in the sense of Lyapunov: an application to chemical engineering and process technology. in Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic ,P5.3. 2004;:1-7.
https://hdl.handle.net/21.15107/rcub_machinery_5553 .
Debeljković, Dragutin, Lazarević, Mihailo, Stojanović, Sreten, Jovanović, Mića, Milinković, Stevan, "Discrete time delayed system stability theory in the sense of Lyapunov: an application to chemical engineering and process technology" in Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic ,P5.3 (2004):1-7,
https://hdl.handle.net/21.15107/rcub_machinery_5553 .

Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results

Debeljković, Dragutin; Lazarević, Mihailo; Stojanović, Sreten; Jovanović, Mića; Milinković, Stevan

(IEEE Control Systems Society, 2004)

TY  - CONF
AU  - Debeljković, Dragutin
AU  - Lazarević, Mihailo
AU  - Stojanović, Sreten
AU  - Jovanović, Mića
AU  - Milinković, Stevan
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5494
AB  - Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by  vector state representation of the form x(k+I)=Ao(k)+A1(k-I). This result is less conservative than those in existing literature.  To the best knowledge of the authors, such result have not yet been reported.
PB  - IEEE Control Systems Society
PB  - Taiwan:  National Taiwan University
C3  - Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan
T1  - Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results
EP  - 516
SP  - 511
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5494
ER  - 
@conference{
author = "Debeljković, Dragutin and Lazarević, Mihailo and Stojanović, Sreten and Jovanović, Mića and Milinković, Stevan",
year = "2004",
abstract = "Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by  vector state representation of the form x(k+I)=Ao(k)+A1(k-I). This result is less conservative than those in existing literature.  To the best knowledge of the authors, such result have not yet been reported.",
publisher = "IEEE Control Systems Society, Taiwan:  National Taiwan University",
journal = "Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan",
title = "Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results",
pages = "516-511",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5494"
}
Debeljković, D., Lazarević, M., Stojanović, S., Jovanović, M.,& Milinković, S.. (2004). Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results. in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan
IEEE Control Systems Society., 511-516.
https://hdl.handle.net/21.15107/rcub_machinery_5494
Debeljković D, Lazarević M, Stojanović S, Jovanović M, Milinković S. Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results. in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan. 2004;:511-516.
https://hdl.handle.net/21.15107/rcub_machinery_5494 .
Debeljković, Dragutin, Lazarević, Mihailo, Stojanović, Sreten, Jovanović, Mića, Milinković, Stevan, "Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results" in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan (2004):511-516,
https://hdl.handle.net/21.15107/rcub_machinery_5494 .

Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results

Debeljković, Dragutin; Lazarević, Mihailo; Stojanović, Sreten; Jovanović, Mića; Milinković, Stevan

(IEEE Control Systems Society, 2004)

TY  - CONF
AU  - Debeljković, Dragutin
AU  - Lazarević, Mihailo
AU  - Stojanović, Sreten
AU  - Jovanović, Mića
AU  - Milinković, Stevan
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5457
AB  - Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by vector state representation of the form x(k+1)=Ao(k)+A1x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.
PB  - IEEE Control Systems Society
PB  - Taiwan:  National Taiwan University
C3  - Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan
T1  - Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results
EP  - 516
SP  - 511
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5457
ER  - 
@conference{
author = "Debeljković, Dragutin and Lazarević, Mihailo and Stojanović, Sreten and Jovanović, Mića and Milinković, Stevan",
year = "2004",
abstract = "Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by vector state representation of the form x(k+1)=Ao(k)+A1x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.",
publisher = "IEEE Control Systems Society, Taiwan:  National Taiwan University",
journal = "Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan",
title = "Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results",
pages = "516-511",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5457"
}
Debeljković, D., Lazarević, M., Stojanović, S., Jovanović, M.,& Milinković, S.. (2004). Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results. in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan
IEEE Control Systems Society., 511-516.
https://hdl.handle.net/21.15107/rcub_machinery_5457
Debeljković D, Lazarević M, Stojanović S, Jovanović M, Milinković S. Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results. in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan. 2004;:511-516.
https://hdl.handle.net/21.15107/rcub_machinery_5457 .
Debeljković, Dragutin, Lazarević, Mihailo, Stojanović, Sreten, Jovanović, Mića, Milinković, Stevan, "Discrete Time Delayed  System Stability Theory in the sense of Lyapunov: New Results" in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan (2004):511-516,
https://hdl.handle.net/21.15107/rcub_machinery_5457 .

Discrete time delayed system stability theory in the sense of Lyapunov: New results

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Stojanović, S.B.; Jovanović, MB; Milinković, Stevan A.

(World Scientific Publ Co Pte Ltd, Singapore, 2004)

TY  - CONF
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Stojanović, S.B.
AU  - Jovanović, MB
AU  - Milinković, Stevan A.
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/429
AB  - Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k+1) = A(0)x(k)+A(1)a(k-1). This result is less conservative than those in existing literature.
PB  - World Scientific Publ Co Pte Ltd, Singapore
C3  - Advances in Dynamics, Instrumentation and Control
T1  - Discrete time delayed system stability theory in the sense of Lyapunov: New results
EP  - 47
SP  - 41
UR  - https://hdl.handle.net/21.15107/rcub_machinery_429
ER  - 
@conference{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Stojanović, S.B. and Jovanović, MB and Milinković, Stevan A.",
year = "2004",
abstract = "Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k+1) = A(0)x(k)+A(1)a(k-1). This result is less conservative than those in existing literature.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "Advances in Dynamics, Instrumentation and Control",
title = "Discrete time delayed system stability theory in the sense of Lyapunov: New results",
pages = "47-41",
url = "https://hdl.handle.net/21.15107/rcub_machinery_429"
}
Debeljković, D. Lj., Lazarević, M., Stojanović, S.B., Jovanović, M.,& Milinković, S. A.. (2004). Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Advances in Dynamics, Instrumentation and Control
World Scientific Publ Co Pte Ltd, Singapore., 41-47.
https://hdl.handle.net/21.15107/rcub_machinery_429
Debeljković DL, Lazarević M, Stojanović S, Jovanović M, Milinković SA. Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Advances in Dynamics, Instrumentation and Control. 2004;:41-47.
https://hdl.handle.net/21.15107/rcub_machinery_429 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Stojanović, S.B., Jovanović, MB, Milinković, Stevan A., "Discrete time delayed system stability theory in the sense of Lyapunov: New results" in Advances in Dynamics, Instrumentation and Control (2004):41-47,
https://hdl.handle.net/21.15107/rcub_machinery_429 .

Discrete time deleyed system stability theory in the sense of Lyapunov: New results

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Stojanović, S.B.; Jovanović, M.B.; Milinković, Stevan A.

(Institute of Electrical and Electronics Engineers Inc., 2004)

TY  - CONF
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Stojanović, S.B.
AU  - Jovanović, M.B.
AU  - Milinković, Stevan A.
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/401
AB  - Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k+1) = A 0 x(k)+A 1 x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.
PB  - Institute of Electrical and Electronics Engineers Inc.
C3  - IEEE International Symposium on Intelligent Control - Proceedings
T1  - Discrete time deleyed system stability theory in the sense of Lyapunov: New results
EP  - 516
SP  - 511
UR  - https://hdl.handle.net/21.15107/rcub_machinery_401
ER  - 
@conference{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Stojanović, S.B. and Jovanović, M.B. and Milinković, Stevan A.",
year = "2004",
abstract = "Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k+1) = A 0 x(k)+A 1 x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
journal = "IEEE International Symposium on Intelligent Control - Proceedings",
title = "Discrete time deleyed system stability theory in the sense of Lyapunov: New results",
pages = "516-511",
url = "https://hdl.handle.net/21.15107/rcub_machinery_401"
}
Debeljković, D. Lj., Lazarević, M., Stojanović, S.B., Jovanović, M.B.,& Milinković, S. A.. (2004). Discrete time deleyed system stability theory in the sense of Lyapunov: New results. in IEEE International Symposium on Intelligent Control - Proceedings
Institute of Electrical and Electronics Engineers Inc.., 511-516.
https://hdl.handle.net/21.15107/rcub_machinery_401
Debeljković DL, Lazarević M, Stojanović S, Jovanović M, Milinković SA. Discrete time deleyed system stability theory in the sense of Lyapunov: New results. in IEEE International Symposium on Intelligent Control - Proceedings. 2004;:511-516.
https://hdl.handle.net/21.15107/rcub_machinery_401 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Stojanović, S.B., Jovanović, M.B., Milinković, Stevan A., "Discrete time deleyed system stability theory in the sense of Lyapunov: New results" in IEEE International Symposium on Intelligent Control - Proceedings (2004):511-516,
https://hdl.handle.net/21.15107/rcub_machinery_401 .
1

Finite time stability of linear systems with delayed state

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Koruga, Đuro; Milinković, Stevan A.; Jovanović, Mića B.

(Vojnotehnički institut, Beograd, 2002)

TY  - JOUR
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Koruga, Đuro
AU  - Milinković, Stevan A.
AU  - Jovanović, Mića B.
PY  - 2002
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/280
AB  - Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems are derived. .
PB  - Vojnotehnički institut, Beograd
T2  - Scientific Technical Review
T1  - Finite time stability of linear systems with delayed state
EP  - 32
IS  - 3
SP  - 29
VL  - 52
UR  - https://hdl.handle.net/21.15107/rcub_machinery_280
ER  - 
@article{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Koruga, Đuro and Milinković, Stevan A. and Jovanović, Mića B.",
year = "2002",
abstract = "Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems are derived. .",
publisher = "Vojnotehnički institut, Beograd",
journal = "Scientific Technical Review",
title = "Finite time stability of linear systems with delayed state",
pages = "32-29",
number = "3",
volume = "52",
url = "https://hdl.handle.net/21.15107/rcub_machinery_280"
}
Debeljković, D. Lj., Lazarević, M., Koruga, Đ., Milinković, S. A.,& Jovanović, M. B.. (2002). Finite time stability of linear systems with delayed state. in Scientific Technical Review
Vojnotehnički institut, Beograd., 52(3), 29-32.
https://hdl.handle.net/21.15107/rcub_machinery_280
Debeljković DL, Lazarević M, Koruga Đ, Milinković SA, Jovanović MB. Finite time stability of linear systems with delayed state. in Scientific Technical Review. 2002;52(3):29-32.
https://hdl.handle.net/21.15107/rcub_machinery_280 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Koruga, Đuro, Milinković, Stevan A., Jovanović, Mića B., "Finite time stability of linear systems with delayed state" in Scientific Technical Review, 52, no. 3 (2002):29-32,
https://hdl.handle.net/21.15107/rcub_machinery_280 .

Novi rezultati o ne-Ljapunovskoj stabilnosti linearnih neautonomnih sistema sa kašnjenjem

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Koruga, Đuro; Milinković, Stevan A.; Jovanović, M.B.; Jacić, Lj.A.

(Univerzitet u Nišu, Niš, 2001)

TY  - JOUR
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Koruga, Đuro
AU  - Milinković, Stevan A.
AU  - Jovanović, M.B.
AU  - Jacić, Lj.A.
PY  - 2001
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/239
AB  - Ovaj rad predstavlja dalji rad na osnovnim rezultatima u oblasti ograničenog vremena i praktične stabilnosti linearnih, kontinualnih stacionarnih, neautonomnih sistema sa kašnjenjem. Izdvojeni su dovoljni uslovi ovog tipa stabilnosti za određenju klasu sistema sa kašnjenjem. .
AB  - Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems are derived. .
PB  - Univerzitet u Nišu, Niš
T2  - Facta universitatis - series: Mechanics, Automatic Control and Robotics
T1  - Novi rezultati o ne-Ljapunovskoj stabilnosti linearnih neautonomnih sistema sa kašnjenjem
T1  - Further results on non - Lyapunov stability of the linear nonautonomous systems with delayed state
EP  - 241
IS  - 11
SP  - 231
VL  - 3
UR  - https://hdl.handle.net/21.15107/rcub_machinery_239
ER  - 
@article{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Koruga, Đuro and Milinković, Stevan A. and Jovanović, M.B. and Jacić, Lj.A.",
year = "2001",
abstract = "Ovaj rad predstavlja dalji rad na osnovnim rezultatima u oblasti ograničenog vremena i praktične stabilnosti linearnih, kontinualnih stacionarnih, neautonomnih sistema sa kašnjenjem. Izdvojeni su dovoljni uslovi ovog tipa stabilnosti za određenju klasu sistema sa kašnjenjem. ., Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems are derived. .",
publisher = "Univerzitet u Nišu, Niš",
journal = "Facta universitatis - series: Mechanics, Automatic Control and Robotics",
title = "Novi rezultati o ne-Ljapunovskoj stabilnosti linearnih neautonomnih sistema sa kašnjenjem, Further results on non - Lyapunov stability of the linear nonautonomous systems with delayed state",
pages = "241-231",
number = "11",
volume = "3",
url = "https://hdl.handle.net/21.15107/rcub_machinery_239"
}
Debeljković, D. Lj., Lazarević, M., Koruga, Đ., Milinković, S. A., Jovanović, M.B.,& Jacić, Lj.A.. (2001). Novi rezultati o ne-Ljapunovskoj stabilnosti linearnih neautonomnih sistema sa kašnjenjem. in Facta universitatis - series: Mechanics, Automatic Control and Robotics
Univerzitet u Nišu, Niš., 3(11), 231-241.
https://hdl.handle.net/21.15107/rcub_machinery_239
Debeljković DL, Lazarević M, Koruga Đ, Milinković SA, Jovanović M, Jacić L. Novi rezultati o ne-Ljapunovskoj stabilnosti linearnih neautonomnih sistema sa kašnjenjem. in Facta universitatis - series: Mechanics, Automatic Control and Robotics. 2001;3(11):231-241.
https://hdl.handle.net/21.15107/rcub_machinery_239 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Koruga, Đuro, Milinković, Stevan A., Jovanović, M.B., Jacić, Lj.A., "Novi rezultati o ne-Ljapunovskoj stabilnosti linearnih neautonomnih sistema sa kašnjenjem" in Facta universitatis - series: Mechanics, Automatic Control and Robotics, 3, no. 11 (2001):231-241,
https://hdl.handle.net/21.15107/rcub_machinery_239 .

Optimalno upravljanje linearnim singularnim sistemima s kašnjenjem

Lazarević, Mihailo; Debeljković, Dragutin Lj.; Jovanović, Mića B.; Rančić, Milorad V.; Mulić, Veselin S.

(Vojnotehnički institut, Beograd, 2001)

TY  - JOUR
AU  - Lazarević, Mihailo
AU  - Debeljković, Dragutin Lj.
AU  - Jovanović, Mića B.
AU  - Rančić, Milorad V.
AU  - Mulić, Veselin S.
PY  - 2001
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/235
AB  - Pokazano je kako se linearni singularni sistem s kašnjenjem može da prevede u svoj odgovarajući oblik bez kašnjenja. Ovo uprošćenje omogućava efikasnu primenu postojećih optimizacionih postupaka razvijenih za singularne sisteme.
AB  - The transformation of a linear singular delay system into its corresponding form without delay has been presented. This simplification enables efficient application of existing optimization procedures developed for singular systems. .
PB  - Vojnotehnički institut, Beograd
T2  - Naučno-tehnički pregled
T1  - Optimalno upravljanje linearnim singularnim sistemima s kašnjenjem
T1  - Optimal control of linear singular delay systems
EP  - 12
IS  - 2
SP  - 5
VL  - 51
UR  - https://hdl.handle.net/21.15107/rcub_machinery_235
ER  - 
@article{
author = "Lazarević, Mihailo and Debeljković, Dragutin Lj. and Jovanović, Mića B. and Rančić, Milorad V. and Mulić, Veselin S.",
year = "2001",
abstract = "Pokazano je kako se linearni singularni sistem s kašnjenjem može da prevede u svoj odgovarajući oblik bez kašnjenja. Ovo uprošćenje omogućava efikasnu primenu postojećih optimizacionih postupaka razvijenih za singularne sisteme., The transformation of a linear singular delay system into its corresponding form without delay has been presented. This simplification enables efficient application of existing optimization procedures developed for singular systems. .",
publisher = "Vojnotehnički institut, Beograd",
journal = "Naučno-tehnički pregled",
title = "Optimalno upravljanje linearnim singularnim sistemima s kašnjenjem, Optimal control of linear singular delay systems",
pages = "12-5",
number = "2",
volume = "51",
url = "https://hdl.handle.net/21.15107/rcub_machinery_235"
}
Lazarević, M., Debeljković, D. Lj., Jovanović, M. B., Rančić, M. V.,& Mulić, V. S.. (2001). Optimalno upravljanje linearnim singularnim sistemima s kašnjenjem. in Naučno-tehnički pregled
Vojnotehnički institut, Beograd., 51(2), 5-12.
https://hdl.handle.net/21.15107/rcub_machinery_235
Lazarević M, Debeljković DL, Jovanović MB, Rančić MV, Mulić VS. Optimalno upravljanje linearnim singularnim sistemima s kašnjenjem. in Naučno-tehnički pregled. 2001;51(2):5-12.
https://hdl.handle.net/21.15107/rcub_machinery_235 .
Lazarević, Mihailo, Debeljković, Dragutin Lj., Jovanović, Mića B., Rančić, Milorad V., Mulić, Veselin S., "Optimalno upravljanje linearnim singularnim sistemima s kašnjenjem" in Naučno-tehnički pregled, 51, no. 2 (2001):5-12,
https://hdl.handle.net/21.15107/rcub_machinery_235 .

Further results on the stability of linear nonautonomous systems with delayed state defined over finite time interval

Debeljković, Dragutin; Lazarević, Mihailo; Koruga, Djuro; Milinković, Stevan; Jovanović, Mića

(IEEE Control Systems Society, 2000)

TY  - CONF
AU  - Debeljković, Dragutin
AU  - Lazarević, Mihailo
AU  - Koruga, Djuro
AU  - Milinković, Stevan
AU  - Jovanović, Mića
PY  - 2000
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5706
AB  - This paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems, are derived.
PB  - IEEE Control Systems Society
C3  - Proceedings of the 2000 American Control Conference, ACC 2000, Chicago Illinois (USA), June 28 - 30,  2000
T1  - Further results on the stability of linear nonautonomous  systems with delayed state defined over finite time  interval
EP  - 1451
SP  - 1450
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5706
ER  - 
@conference{
author = "Debeljković, Dragutin and Lazarević, Mihailo and Koruga, Djuro and Milinković, Stevan and Jovanović, Mića",
year = "2000",
abstract = "This paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems, are derived.",
publisher = "IEEE Control Systems Society",
journal = "Proceedings of the 2000 American Control Conference, ACC 2000, Chicago Illinois (USA), June 28 - 30,  2000",
title = "Further results on the stability of linear nonautonomous  systems with delayed state defined over finite time  interval",
pages = "1451-1450",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5706"
}
Debeljković, D., Lazarević, M., Koruga, D., Milinković, S.,& Jovanović, M.. (2000). Further results on the stability of linear nonautonomous  systems with delayed state defined over finite time  interval. in Proceedings of the 2000 American Control Conference, ACC 2000, Chicago Illinois (USA), June 28 - 30,  2000
IEEE Control Systems Society., 1450-1451.
https://hdl.handle.net/21.15107/rcub_machinery_5706
Debeljković D, Lazarević M, Koruga D, Milinković S, Jovanović M. Further results on the stability of linear nonautonomous  systems with delayed state defined over finite time  interval. in Proceedings of the 2000 American Control Conference, ACC 2000, Chicago Illinois (USA), June 28 - 30,  2000. 2000;:1450-1451.
https://hdl.handle.net/21.15107/rcub_machinery_5706 .
Debeljković, Dragutin, Lazarević, Mihailo, Koruga, Djuro, Milinković, Stevan, Jovanović, Mića, "Further results on the stability of linear nonautonomous  systems with delayed state defined over finite time  interval" in Proceedings of the 2000 American Control Conference, ACC 2000, Chicago Illinois (USA), June 28 - 30,  2000 (2000):1450-1451,
https://hdl.handle.net/21.15107/rcub_machinery_5706 .

Stabilnost linearnih sistema sa čistim vremenskim kašnjenjem u stanju na konačnom vremenskom intervalu

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Koruga, Đuro; Milinković, Stevan A.; Jovanović, Mića B.

(Vojnotehnički institut, Beograd, 2000)

TY  - JOUR
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Koruga, Đuro
AU  - Milinković, Stevan A.
AU  - Jovanović, Mića B.
PY  - 2000
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/205
AB  - U radu se daje dalje proširenje ranije izvedenih rezultata istih autora, koji su se odnosili na klasu sistema sa kašnjenjem u stanju a za njihov rad u slobodnom radnom režimu a na konačnom vremenskom intervalu. Izvedeni su dovoljni uslovi praktične stabilnosti i stabilnosti na konačnom vremenskom intervalu jedne posebne klase sistema sa čistim vremenskim kašnjenjem.
AB  - Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability, for a particular class of time-delay systems are derived.
PB  - Vojnotehnički institut, Beograd
T2  - Naučno-tehnički pregled
T1  - Stabilnost linearnih sistema sa čistim vremenskim kašnjenjem u stanju na konačnom vremenskom intervalu
T1  - Finite time stability of linear systems with delayed state
EP  - 15
IS  - 2
SP  - 11
VL  - 50
UR  - https://hdl.handle.net/21.15107/rcub_machinery_205
ER  - 
@article{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Koruga, Đuro and Milinković, Stevan A. and Jovanović, Mića B.",
year = "2000",
abstract = "U radu se daje dalje proširenje ranije izvedenih rezultata istih autora, koji su se odnosili na klasu sistema sa kašnjenjem u stanju a za njihov rad u slobodnom radnom režimu a na konačnom vremenskom intervalu. Izvedeni su dovoljni uslovi praktične stabilnosti i stabilnosti na konačnom vremenskom intervalu jedne posebne klase sistema sa čistim vremenskim kašnjenjem., Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability, for a particular class of time-delay systems are derived.",
publisher = "Vojnotehnički institut, Beograd",
journal = "Naučno-tehnički pregled",
title = "Stabilnost linearnih sistema sa čistim vremenskim kašnjenjem u stanju na konačnom vremenskom intervalu, Finite time stability of linear systems with delayed state",
pages = "15-11",
number = "2",
volume = "50",
url = "https://hdl.handle.net/21.15107/rcub_machinery_205"
}
Debeljković, D. Lj., Lazarević, M., Koruga, Đ., Milinković, S. A.,& Jovanović, M. B.. (2000). Stabilnost linearnih sistema sa čistim vremenskim kašnjenjem u stanju na konačnom vremenskom intervalu. in Naučno-tehnički pregled
Vojnotehnički institut, Beograd., 50(2), 11-15.
https://hdl.handle.net/21.15107/rcub_machinery_205
Debeljković DL, Lazarević M, Koruga Đ, Milinković SA, Jovanović MB. Stabilnost linearnih sistema sa čistim vremenskim kašnjenjem u stanju na konačnom vremenskom intervalu. in Naučno-tehnički pregled. 2000;50(2):11-15.
https://hdl.handle.net/21.15107/rcub_machinery_205 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Koruga, Đuro, Milinković, Stevan A., Jovanović, Mića B., "Stabilnost linearnih sistema sa čistim vremenskim kašnjenjem u stanju na konačnom vremenskom intervalu" in Naučno-tehnički pregled, 50, no. 2 (2000):11-15,
https://hdl.handle.net/21.15107/rcub_machinery_205 .

Further results on the stability of linear nonautonomous system with delayed state defined over finite time interval

Debeljković, Dragutin Lj.; Lazarević, Mihailo; Koruga, Đuro; Milinković, Stevan A.; Jovanović, M.B.

(Aviation Industry Publishing House, 2000)

TY  - CONF
AU  - Debeljković, Dragutin Lj.
AU  - Lazarević, Mihailo
AU  - Koruga, Đuro
AU  - Milinković, Stevan A.
AU  - Jovanović, M.B.
PY  - 2000
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/189
AB  - The paper extended some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems were derived. Delay dependent criteria expressed by simple inequalities, have been derived yielding sufficient conditions of non-Lyapunov stability of the system considered.
PB  - Aviation Industry Publishing House
C3  - Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
T1  - Further results on the stability of linear nonautonomous system with delayed state defined over finite time interval
EP  - 206
SP  - 201
UR  - https://hdl.handle.net/21.15107/rcub_machinery_189
ER  - 
@conference{
author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Koruga, Đuro and Milinković, Stevan A. and Jovanović, M.B.",
year = "2000",
abstract = "The paper extended some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems were derived. Delay dependent criteria expressed by simple inequalities, have been derived yielding sufficient conditions of non-Lyapunov stability of the system considered.",
publisher = "Aviation Industry Publishing House",
journal = "Proceedings of the 4th Asia-Pacific Conference on Control and Measurement",
title = "Further results on the stability of linear nonautonomous system with delayed state defined over finite time interval",
pages = "206-201",
url = "https://hdl.handle.net/21.15107/rcub_machinery_189"
}
Debeljković, D. Lj., Lazarević, M., Koruga, Đ., Milinković, S. A.,& Jovanović, M.B.. (2000). Further results on the stability of linear nonautonomous system with delayed state defined over finite time interval. in Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
Aviation Industry Publishing House., 201-206.
https://hdl.handle.net/21.15107/rcub_machinery_189
Debeljković DL, Lazarević M, Koruga Đ, Milinković SA, Jovanović M. Further results on the stability of linear nonautonomous system with delayed state defined over finite time interval. in Proceedings of the 4th Asia-Pacific Conference on Control and Measurement. 2000;:201-206.
https://hdl.handle.net/21.15107/rcub_machinery_189 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Koruga, Đuro, Milinković, Stevan A., Jovanović, M.B., "Further results on the stability of linear nonautonomous system with delayed state defined over finite time interval" in Proceedings of the 4th Asia-Pacific Conference on Control and Measurement (2000):201-206,
https://hdl.handle.net/21.15107/rcub_machinery_189 .
2