Robust stability analysis of singular linear system with delay and parameter uncertainty

(整期优先)网络出版时间:2005-02-12
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Thispaperdealswiththeproblemofrobuststabilityforcontinuous-timesingularsystemswithstatedelayandparameteruncertainty.Theuncertainsingularsystemswithdelayconsideredinthispaperareassumedtoberegularandimpulsefree.Bydecomposingthesystemsintoslowandfastsubsystems,arobustdelay-dependentasymptoticstabilitycriteriabasedonlinearmatrixinequalityisproposed,whichisderivedbyusingLyapunov-Krasovskiifunctionals,neithermodeltransformationnorboundingforcrosstermsisrequiredinthederivationofourdelay-dependentresult.Therobustdelay-dependentstabilitycriterionproposedinthispaperisasufficientcondition.Finally,numericalexamplesandMatlabsimulationareprovidedtoillustratetheeffectivenessoftheproposedmethod.