Finite-Time Stability of Fractional Time Delay System
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2014
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Prikaz svih podataka o dokumentuApstrakt
In this study, some basic results of the stability criteria of fractional order systems with time-delay as well as free-delay are presented. Particularly, they are obtained and presented sufficient conditions for finite time stability for (non)linear (non)homogeneous as well as perturbed fractional order time-delay systems. Several stability criteria for this class of fractional order systems are proposed using a recently suggested generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Some conclusions for stability are similar to those of classical integer-order differential equations. Lastly, numerical examples are given to illustrate the validity of the proposed procedure.
Ključne reči:
stability / fractional calculus / time-delay / fractional order system / finite-time stabilityIzvor:
Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling, 2014, 43-66Izdavač:
- WSEAS Press
Finansiranje / projekti:
- Održivost i unapređenje mašinskih sistema u energetici i transportu primenom forenzičkog inženjerstva, eko i robust dizajna (RS-MESTD-Technological Development (TD or TR)-35006)
- Razvoj novih metoda i tehnika za ranu dijagnostiku kancera grlića materice, debelog creva, usne duplje i melanoma na bazi digitalne slike i ekscitaciono-emisionih spektara u vidljivom i infracrvenom domenu (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Povećanje energetske efikasnosti HE i TE EPS-a razvojem tehnologije i uređaja energetske elektronike za regulaciju i automatizaciju (RS-MESTD-Technological Development (TD or TR)-33020)
- Dinamika hibridnih sistema složenih struktura. Mehanika materijala (RS-MESTD-Basic Research (BR or ON)-174001)
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Institucija/grupa
Mašinski fakultetTY - CHAP AU - Lazarević, Mihailo PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6684 AB - In this study, some basic results of the stability criteria of fractional order systems with time-delay as well as free-delay are presented. Particularly, they are obtained and presented sufficient conditions for finite time stability for (non)linear (non)homogeneous as well as perturbed fractional order time-delay systems. Several stability criteria for this class of fractional order systems are proposed using a recently suggested generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Some conclusions for stability are similar to those of classical integer-order differential equations. Lastly, numerical examples are given to illustrate the validity of the proposed procedure. PB - WSEAS Press T2 - Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling T1 - Finite-Time Stability of Fractional Time Delay System EP - 66 SP - 43 UR - https://hdl.handle.net/21.15107/rcub_machinery_6684 ER -
@inbook{ author = "Lazarević, Mihailo", year = "2014", abstract = "In this study, some basic results of the stability criteria of fractional order systems with time-delay as well as free-delay are presented. Particularly, they are obtained and presented sufficient conditions for finite time stability for (non)linear (non)homogeneous as well as perturbed fractional order time-delay systems. Several stability criteria for this class of fractional order systems are proposed using a recently suggested generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Some conclusions for stability are similar to those of classical integer-order differential equations. Lastly, numerical examples are given to illustrate the validity of the proposed procedure.", publisher = "WSEAS Press", journal = "Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling", booktitle = "Finite-Time Stability of Fractional Time Delay System", pages = "66-43", url = "https://hdl.handle.net/21.15107/rcub_machinery_6684" }
Lazarević, M.. (2014). Finite-Time Stability of Fractional Time Delay System. in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling WSEAS Press., 43-66. https://hdl.handle.net/21.15107/rcub_machinery_6684
Lazarević M. Finite-Time Stability of Fractional Time Delay System. in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling. 2014;:43-66. https://hdl.handle.net/21.15107/rcub_machinery_6684 .
Lazarević, Mihailo, "Finite-Time Stability of Fractional Time Delay System" in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling (2014):43-66, https://hdl.handle.net/21.15107/rcub_machinery_6684 .