Yan, P.Özbay, Hitay2016-02-082016-02-082008-120191-2216http://hdl.handle.net/11693/26766Date of Conference: 9-11 Dec. 2008Conference name: 47th IEEE Conference on Decision and Control, 2008This paper addresses the asymptotic stability of switched time delay systems with heterogenous time invariant time delays. Piecewise Lyapunov-Razumikhin functions are introduced for the switching candidate systems to investigate the stability in the presence of infinite number of switchings. We provide sufficient conditions in terms of the minimum dwell time to guarantee asymptotic stability under the assumptions that each switching candidate is delay-independently or delaydependently stable. Conservatism analysis is also provided by comparing with the dwell time conditions for switched delay free systems. © 2008 IEEE.EnglishDelay-free systemsDwell timeInfinite numbersLyapunov-razumikhin functionsPiece wiseStability analysisSufficient conditionsTime invariantsTime- delaysTime-delay systemsAsymptotic analysisAsymptotic stabilityDelay control systemsSwitching functionsTime delaySystem stabilityConference Paper10.1109/CDC.2008.4739494