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1、...AbstractAbstractInthestudyofouractualphysicalsystemsandnaturalscience,manymathematicalmodelsofpracticalproblemsalwayscanbedescribedbyimpulsiveswitchedfunctionaldifferentialsystems,suchasnetworksystem,thetransferofsatelliteorbit,communi-cationconstraintscontrol.Becauseofthisimpo
2、rtantpracticalsignificanceandwideapplicationbackground,nowmanyscholarsathomeandabroaddevotethemselvestothisaspectandalotofinterestingresultsarederived.Theseresultsmostlyfocusonthenonlinearsystemswithimpulsiveconditionsindependentontimedelaysorthetimedelaysaxefinite,however,inpractic
3、alapplication,particularlyinthedesignofquicksearchnetworkcapacityandtheneutralnetworkoptimizationcalculation,theimpulsechangesalwayscontaintimedelaysoraffectedbythemindirectly.Inaddition,im-pulsiveswitchedfunctionaldifferentialsystemswithimpulsivesignal,switchingsignalandtimedelay
4、whicharemoregeneral.Hence,theresearchonstabilitytheoryofimpulsiveswitchedfunctionaldifferentialsystemshasaveryimportanttheoreticalsig-nificanceandapplicationvalue.Considerthatthedelayedimpulsecanbingstableandunstableeffectstosystem.Inthispaper,employingthemultiplyLyapunovfunctional
5、smethodandthesubsequencemethod,wemainlystudiestwoimpulsesimpactonsystemstability.Twomainconclu-sionsweregiveninthefollowingintheviewoftwokindsofimpulses:1)input-to-statestabilityforaclassofimpulsiveswitchednonlineartime-delaysystemswithdelayedimpulseeffects.Theproblemofinput-to-st
6、atestabilityforaclassofimpulsiveswitchednonlineartime-delaysystemswithdelayedimpulseeffectsisinvestigated.UtilizingthemultipleLyapunovfunctionalmethod,theinput-to-statestabilityofsystemsundertwokindsofimpulseseffectweregiven.Oursystemisasyntheticalone,whichcontainedtheswitchingsig
7、nals,impulsivesignalsanddelayedimpulses.Moreover,asubsequenceoftheswitchingandimpulsivetimesequenceisconstructed,andthedecayofsystemtrajectorieshasacloserelationshipwiththedecaybound,thedwelltimeboundandtheboundofdelayedimpulses.Thisimpliesthatourresultshaveamoregeneralresultthant
8、heotherliteratures.Finally,theval