某些不连续微分系统的稳定性分析.pdf

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8、'…cµóÀ;‡©•§;ž¢;p‘;oäÊìżê;•ê•½5;Ø•½5;Û•½5;vɲ“‰ŒÆa¬ÆØ©AbstractAbstractThisthesismainlystudiesthestabilityofseveralkindsofimpulsivedieren-tialsystems.Itisconsistedofsixchapters.Astheintroduction,inChapter1,thebackgroundandhistoryofimpulsivedierentialequationandimpulsivefunctiona

9、ldierentialsystemsandthemainresultsofthisworkarestated.InChapter2,westudytheexponentialstabilityofaclassofdierentialsystemswithstate-dependentdelayedimpulsesandobtainthesucientconditionforthesolutionofthesystemtobeexponentiallystable.Asthecorollary,wecangeneralizethepre-exsitin

10、gresult.InChapter3,wefurtherinvestigatetheunstabilityofaclassofdierentialsystemswithstate-dependedimpulsesandgetthesucientconditionforthesolutionofthesystemtobeunstableandsomerelatedcorollarysareobtained.InChapter4,wediscusstheunstabilityofaclassofthree-orderdierentialequations

11、withstate-dependedimpulsesandsome