Further stability criteria for time-delay systems with interval time-varying delays

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dc.authorscopusid57221092049
dc.authorscopusid6505649741
dc.contributor.authorParlakçi, M.N.A.
dc.contributor.authorKüçükdemiral, I.B.
dc.date.accessioned2024-07-18T20:17:24Z
dc.date.available2024-07-18T20:17:24Z
dc.date.issued2011
dc.description.abstractIn this paper, a novel stability criterion is developed for time-delay systems having time-varying delays that belong to a given range. Based on a choice of different type of Lyapunov -Krasovskii functional in an extensively augmented form, some new delay-range dependent stability criteria are proposed. This developed stability result has advantages over some previous ones. First, the method is based on the selection of a new, extensively augmented Lyapunov-Krasovskii functional which does not only take the delay range into account but also the weighted version of it. Second it estimates the upper bound of the derivative of the Lyapunov functional without ignoring some useful integral terms. Finally, we have introduced several free slack variables in relation with Newton-Leibniz formula to provide some kind of relaxation for the proposed stability criteria. In addition to this, we have also employed the method of completing to squares which has enabled to provide further relaxation with some additional decision variables. © 2011 IFAC.en_US
dc.identifier.doi10.3182/20110828-6-IT-1002.00111
dc.identifier.endpage3872en_US
dc.identifier.isbn9783902661937
dc.identifier.issn1474-6670
dc.identifier.issue1 PART 1en_US
dc.identifier.scopus2-s2.0-84866753326en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage3867en_US
dc.identifier.urihttps://doi.org/10.3182/20110828-6-IT-1002.00111
dc.identifier.urihttps://hdl.handle.net/11411/6528
dc.identifier.volume44en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIFAC Secretariaten_US
dc.relation.ispartofIFAC Proceedings Volumes (IFAC-PapersOnline)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInterval Delaysen_US
dc.subjectLmısen_US
dc.subjectLyapunov-Krasovskii Functionalen_US
dc.subjectStabilityen_US
dc.subjectTime-Delayen_US
dc.subjectConvergence Of Numerical Methodsen_US
dc.subjectDelay Control Systemsen_US
dc.subjectLyapunov Functionsen_US
dc.subjectSystem Stabilityen_US
dc.subjectTime Delayen_US
dc.subjectTime Varying Control Systemsen_US
dc.subjectTiming Circuitsen_US
dc.subjectDecision Variablesen_US
dc.subjectDelay-Range-Dependenten_US
dc.subjectInterval Delayen_US
dc.subjectInterval Time-Varying Delaysen_US
dc.subjectLmısen_US
dc.subjectLyapunov Functionalsen_US
dc.subjectLyapunov-Krasovskii Functionalsen_US
dc.subjectTime Varying- Delaysen_US
dc.subjectStability Criteriaen_US
dc.titleFurther stability criteria for time-delay systems with interval time-varying delays
dc.typeConference Object

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