Delay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach

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dc.authoridParlakci, Alpaslan/0000-0002-4702-3563
dc.authorwosidParlakci, Alpaslan/U-1325-2018
dc.contributor.authorParlakci, Mehmet Nur Alpaslan
dc.date.accessioned2024-07-18T20:50:43Z
dc.date.available2024-07-18T20:50:43Z
dc.date.issued2011
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractThis paper investigates the conservatism reduction of Lyapunov-Krasovskii based conditions for the stability of a class of interval time-varying delay systems. The main idea is based on the nonuniform decomposition of the integral terms of the Lyapunov-Krasovskii functional. The delay interval is decomposed into a finite number of nonuniform segments with some scaling parameters Both differentiable delay case and non-differentiable delay case and unknown delay derivative bound case are taken into consideration. Sufficient delay-dependent stability criteria are derived in terms of matrix inequalities. Two suboptimal delau fractionation schemes, namely, linearization with cone complementary technique and linearization under additional constraints are introduced in Order to find a feasible solution set using LMI solvers with a convex optimization algorithm so that a suboptimal maximum allowable delay upper bound is achieved. It is theoretically demonstrated that the proposed technique has reduced complexity in comparison to some existing delay fractionation methods from the literature. A numerical example with case studies is given to demonstrate the effectiveness of the proposed method with respect to some existing ones from the literature.en_US
dc.identifier.doi10.3906/elk-1007-591
dc.identifier.endpage773en_US
dc.identifier.issn1300-0632
dc.identifier.issn1303-6203
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-79960240856en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage763en_US
dc.identifier.trdizinid117479en_US
dc.identifier.urihttps://doi.org/10.3906/elk-1007-591
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/117479
dc.identifier.urihttps://hdl.handle.net/11411/8189
dc.identifier.volume19en_US
dc.identifier.wosWOS:000294086700008en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal of Electrical Engineering and Computer Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime Delay Systemsen_US
dc.subjectİnterval Time-Varying Delayen_US
dc.subjectDelay Partitioningen_US
dc.subjectCone Complementary Methoden_US
dc.subjectLinear Matrix İnequalityen_US
dc.subjectRobust Stabilityen_US
dc.subjectUncertain Systemsen_US
dc.titleDelay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach
dc.typeArticle

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