摘要
Inthispaper,theexponentialstabilityanalysisforODEswitchedsystemswithtimedelayisextendedtodistributedparameterswitchedsystems(DPSS)inHilbertspace.Foragivenfamilyofexponentialstablesubsystems,thispaperfocusesonfindingconditionstoguaranteetheoverallDPSS'exponentialstability.Basedonsemigrouptheory,byapplyingpiecewiseLyapunov-Krasovskiifunctionalsmethodincorporatedaveragedwelltimeapproach,sufficientconditionsforexponentialstabilityarederived.Theseconditionsaregivenintheformoflinearoperatorinequalities(LOIs)wherethedecisionvariablesareoperatorsinHilbertspace,andthestabilitypropertiesdependonswitchingrule.Beingappliedtoheatswitchedpropagationequations,theseLOIsarereducedtostandardLinearMatrixInequalities(LMIs).Finally,anumericalexampleisgiventoillustratetheeffectivenessoftheproposedresult.
出版日期
2014年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)