Robust stability of linear uncertain discrete-time systems with interval time-varying delay

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dc.WoS.categoriesComputer Science, Artificial Intelligence; Engineering, Electrical & Electronicen_US
dc.authorid0000-0002-4702-3563en_US
dc.authorwosidU-1325-2018en_US
dc.contributor.authorParlakçı, M. N. Alpaslan
dc.date.accessioned2021-02-25T11:44:52Z
dc.date.available2021-02-25T11:44:52Z
dc.date.issued2014
dc.description.abstractThis paper presents a robust stability problem for linear uncertain discrete-time systems with interval time-varying delay and norm-bounded uncertainties. First, a necessary and sufficient stability condition is obtained by employing a well-known lifting method and switched system approach for nominal discrete-time delay systems. Both the stability method of checking the characteristic values inside the unit circle and a Lyapunov function-based stability result are taken into consideration. Second, a simple Lyapunov-Krasovskii functional (LKF) is selected, and utilizing a generalized Jensen sum inequality, a sufficient stability condition is presented in the form of linear matrix inequalities. Third, a novel LKF is proposed together with the use of a convexity approach in the LKF. Finally, the proposed method is extended to the case when the system under consideration is subject to norm-bounded uncertainties. Three numerical examples are introduced to illustrate the effectiveness of the proposed approach, along with some numerical comparisons.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.3906/elk-1209-119
dc.identifier.issn1303-6203
dc.identifier.issn1300-0632
dc.identifier.scopus2-s2.0-84897835736en_US
dc.identifier.trdizinid213989en_US
dc.identifier.urihttps://hdl.handle.net/11411/3313
dc.identifier.urihttps://doi.org/10.3906/elk-1209-119
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/213989en_US
dc.identifier.wosWOS:000332942900011en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.issue3en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors1en_US
dc.pages650-662en_US
dc.publisherTubitak Scientific & Technical 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.subjectDiscrete-time systemsen_US
dc.subjecttime-varying delayen_US
dc.subjectnorm-bounded uncertaintiesen_US
dc.subjectrobust stabilityen_US
dc.subjectlifting methoden_US
dc.subjectLyapunov-Krasovskii functionalen_US
dc.subjectlinear matrix inequalitiesen_US
dc.titleRobust stability of linear uncertain discrete-time systems with interval time-varying delay
dc.typeArticle
dc.volume22en_US

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