An improved augmented delay partitioning approach for the stability of time-varying state-delayed systems

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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.issued2012
dc.descriptionet al.;IFAC TC 1.5. Networked Systems;IFAC TC 2.1. Control Design;IFAC TC 2.2. Linear Control Systems;IFAC TC 2.3. Non-Linear Control Systems;IFAC TC 2.5. Robust Controlen_US
dc.description10th IFAC Workshop on Time Delay Systems, TDS-2012 -- 22 June 2012 through 24 June 2012 -- Boston, MA -- 92592en_US
dc.description.abstractThis paper deals with the asymptotical stability problem of retarded type time-delay systems with time-varying delays using the technique of decomposing the delay interval uniformly into an integer number of equal size segments and proposing an appropriate Lyapunov-Krasovskii (L-K) functional to develop delay-dependent stability criteria. The novelty of the proposed method originates from two significant contributions. First, a quasi-full size augmented form of L-K functional is introduced for the stability analysis. Second, almost exact full information has been exploited for the relationship among the actual time-varying delay and its upper bound concerning the delay related integral terms. This approach allows to avoid any redundant enlargement with the delay upper bound while estimating the derivative of the L-K functional as it will bring naturally conservativeness on the results. Several numerical examples are taken into account with some case studies to illustrate the effectiveness of the proposed method. For the treated examples, the results of maximum admissible delay bound have clearly indicated that the proposed approach provides significant improvement over those reported in the literature. © 2012 IFAC.en_US
dc.identifier.doi10.3182/20120622-3-US-4021.00042
dc.identifier.endpage6en_US
dc.identifier.isbn9783902823045
dc.identifier.issn1474-6670
dc.identifier.issuePART 1en_US
dc.identifier.scopus2-s2.0-84866058846en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.3182/20120622-3-US-4021.00042
dc.identifier.urihttps://hdl.handle.net/11411/6529
dc.identifier.volume10en_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/openAccessen_US
dc.subjectDelay-Partitioning Approachen_US
dc.subjectStabilityen_US
dc.subjectTime-Delay Systemsen_US
dc.subjectTime-Varying Delayen_US
dc.subjectConvergence Of Numerical Methodsen_US
dc.subjectDelay Control Systemsen_US
dc.subjectNumerical Methodsen_US
dc.subjectSystem Stabilityen_US
dc.subjectTime Delayen_US
dc.subjectTime Varying Control Systemsen_US
dc.subjectAsymptotical Stabilityen_US
dc.subjectDelay Dependent Stability Criterionen_US
dc.subjectDelay Partitioning Approachesen_US
dc.subjectLyapunovkrasovskii Functional (L-K)en_US
dc.subjectStability Analysisen_US
dc.subjectState-Delayed Systemsen_US
dc.subjectTime Varying- Delaysen_US
dc.subjectTime-Delay Systemsen_US
dc.subjectStability Criteriaen_US
dc.titleAn improved augmented delay partitioning approach for the stability of time-varying state-delayed systemsen_US
dc.typeConference Objecten_US

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