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Stabilnost i stabilizacija sistema necelobrojnog reda sa kašnjenjem
Stability and stabilization of fractional order time delay systems
dc.creator | Lazarević, Mihailo | |
dc.date.accessioned | 2022-09-19T16:34:17Z | |
dc.date.available | 2022-09-19T16:34:17Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 1820-0206 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/1157 | |
dc.description.abstract | U ovom radu predstavljeni su neki osnovni rezultati koji se odnose na kriterijume stabilnosti sistema necelobrojnog reda sa kašnjenjem kao i za sisteme necelobrojnog reda bez kašnjenja.Takođe, dobijeni su i predstavljeni dovoljni uslovi za konačnom vremenskom stabilnost i stabilizacija za (ne)linearne (ne)homogene kao i za perturbovane sisteme necelobrojnog reda sa vremenskim kašnjenjem. Nekoliko kriterijuma stabilnosti za ovu klasu sistema necelobrojnog reda je predloženo korišćenjem nedavno dobijene generalizovane Gronval nejednakosti, kao i 'klasične' Belman-Gronval nejednakosti. Neki zaključci koji se odnose na stabilnost sistema necelobrojnog reda su slični onima koji se odnose na klasične sisteme celobrojnog reda. Na kraju, numerički primer je dat u cilju ilustracije značaja predloženog postupka. | sr |
dc.description.abstract | In this paper, some basic results of the stability criteria of fractional order system with time delay as well as free delay are presented. Also, we obtained and presented sufficient conditions for finite time stability and stabilization 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 integerorder differential equations. Finally, a numerical example is given to illustrate the validity of the proposed procedure. | en |
dc.publisher | Vojnotehnički institut, Beograd | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35006/RS// | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/41006/RS// | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Scientific Technical Review | |
dc.subject | vremensko kašnjenje | sr |
dc.subject | stabilnost sistema | sr |
dc.subject | stabilizacija sistema | sr |
dc.subject | sistem sa kašnjenjem | sr |
dc.subject | sistem necelobrojnog reda | sr |
dc.subject | perturbacija | sr |
dc.subject | nelinearni sistem | sr |
dc.subject | time delay | en |
dc.subject | system with delay | en |
dc.subject | system stabilization | en |
dc.subject | system stability | en |
dc.subject | perturbation | en |
dc.subject | nonlinear system | en |
dc.subject | fractional order system | en |
dc.title | Stabilnost i stabilizacija sistema necelobrojnog reda sa kašnjenjem | sr |
dc.title | Stability and stabilization of fractional order time delay systems | en |
dc.type | article | |
dc.rights.license | BY | |
dc.citation.epage | 45 | |
dc.citation.issue | 1 | |
dc.citation.other | 61(1): 31-45 | |
dc.citation.rank | M51 | |
dc.citation.spage | 31 | |
dc.citation.volume | 61 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/127/1154.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_1157 | |
dc.type.version | publishedVersion |