资源描述：
《一类带有脉冲时延的脉冲切换系统的稳定性.研究》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
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
