Robust stability of time delay systems with nonlinear perturbations

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dc.authorscopusid57221092049
dc.contributor.authorParlakçi, M.N.A.
dc.date.accessioned2024-07-18T20:18:00Z
dc.date.available2024-07-18T20:18:00Z
dc.date.issued2004
dc.descriptionIASTEDen_US
dc.descriptionProceedings of the IASTED International Conference on Circuits, Signals, and Systems -- 28 November 2004 through 1 December 2004 -- Clearwater Beach, FL -- 64120en_US
dc.description.abstractIn this paper the robust stability of a class of delayed systems with nonlinear time-varying parameter perturbations is investigated. Based on the Lyapunov stability method and quadratic stability theory, some novel delay-dependent robust stability criteria are derived. Unlike some existing methods, the main distinguishing feature of the proposed method is that any bounding of the cross-terms are not used in the stability analysis. This allows the newly obtained stability criteria to provide less conservative results than that of reported methods which often employ strict bounding for the cross-terms. As the stability criteria are given in the form of linear matrix inequalities, they can be easily solved by using interior-point algorithms. This indicates that the proposed method does not require tuning of any parameters and/or matrices for which it is rather difficult to give an optimization algorithm. Several numerical examples are considered for the purpose of comparison with some previously reported stability results from the literature in order to illustrate the effectiveness of the proposed method.en_US
dc.identifier.endpage208en_US
dc.identifier.isbn0889864551
dc.identifier.isbn9780889864559
dc.identifier.scopus2-s2.0-11144305442en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage205en_US
dc.identifier.urihttps://hdl.handle.net/11411/6840
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofProceedings of the IASTED International Conference on Circuits, Signals, and Systemsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLinear Matrix İnequalitiesen_US
dc.subjectNonlinear Systemsen_US
dc.subjectOptimizationen_US
dc.subjectStabilityen_US
dc.subjectTime-Delayen_US
dc.subjectAlgorithmsen_US
dc.subjectMatrix Algebraen_US
dc.subjectNonlinear Systemsen_US
dc.subjectOptimizationen_US
dc.subjectPerturbation Techniquesen_US
dc.subjectRobustness (Control Systems)en_US
dc.subjectSystem Stabilityen_US
dc.subjectDelay-Differential Systemsen_US
dc.subjectLinear Matrix İnequalitiesen_US
dc.subjectTime-Delay Systemsen_US
dc.subjectDelay Circuitsen_US
dc.titleRobust stability of time delay systems with nonlinear perturbationsen_US
dc.typeConference Objecten_US

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