EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY-中国期刊网

摘要 Inthispaper,theexponentialstabilityanalysisforODEswitchedsystemswithtimedelayisextendedtodistributedparameterswitchedsystems(DPSS)inHilbertspace.Foragivenfamilyofexponentialstablesubsystems,thispaperfocusesonfindingconditionstoguaranteetheoverallDPSS'exponentialstability.Basedonsemigrouptheory,byapplyingpiecewiseLyapunov-Krasovskiifunctionalsmethodincorporatedaveragedwelltimeapproach,sufficientconditionsforexponentialstabilityarederived.Theseconditionsaregivenintheformoflinearoperatorinequalities(LOIs)wherethedecisionvariablesareoperatorsinHilbertspace,andthestabilitypropertiesdependonswitchingrule.Beingappliedtoheatswitchedpropagationequations,theseLOIsarereducedtostandardLinearMatrixInequalities(LMIs).Finally,anumericalexampleisgiventoillustratetheeffectivenessoftheproposedresult.

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EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY

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EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY

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