三阶时滞微分系统的镇定性和脉冲泛函微分系统的稳定性分析

《三阶时滞微分系统的镇定性和脉冲泛函微分系统的稳定性分析》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、山东师范大学硕士学位论文periodicimpulse．ThenbymeansofLⅣ口p仳nDt‘functionsandL可口卵lnDufunctionalswithanalysismethods，weestablishsumcientconditionsforthestabilityofsolutionsaboutthesystem(1)byimposingproperimpulsecontrols．AndtheimpulsivecontrolingfunctionswithsiInpleexpres

2、sionsaregiVen．Theresultsint王1isc：【1apterimproveandgeIleralizesomeoftheearlierfoundings．thereforetheappIicationsaremoreextensive．FinaUHwe西Veoneexanlpletomustratetheapplicationofourresults．WiththerapiddevelopmentofscienceandtechnoIo烈thestudyforthestabilityof

3、impIllsiwhlnctionaldi舵rentials”temsgradllallybecomf'ahotspot．Inthe1astsever越years，thebasictheoryonimpulsivefunctionaldi丘'erentialsystemswithpdelayisjustestabhshedf1引．ImpulsivPfunctionaldifl!：erenti出systemswithpdel缈areveryimportant妇pulsivefunctionaldi髓renti

4、alsystemswhichcontainmanyimpulsivefunctionaldi髓卜entialsystems哳th丘11itedela、rasweUas耐thunbounddela弘Inpastrese盯ch，peopleusu出lymakeuseofoneorderofderiVativesinL可印乱n鲫fUnctiontodiscussVarious虹ndsofnatureoftheimpulsivedifrerentialsystems，andalw妁，stosettingupthec

5、ondi-tiononcontinuollsportionanddispersedportionofthesyetemsindependdently．Butthearticle【17】proposedonenewmethod-themethodofgenerahzedsecondorderderiva七ivesofL3；，o础n们’functionm批11elythederiv￡眈i、，eofL!，口pⅢ1们’fUnctionaLlongthesystenlrailhnenolongercon丘netone

6、gati、，eordeanitelynegatiVe．andaLllowthecontimlouspartofL曼，n印mDt，f11nctionalongthesystemraillineincreasepro鲈essively．ora氘erjumpingincreausinginpulse．butmustsetuptheconditiontoguarameeitcan’tincreasetoofaLst．Theymeet1Inderthe鲈oundprerequisitPofcertaLintermst

7、hegeneralizedsecondorderderi、慨tivesofL暑，叼m佗Dufunction，thoughtosettinguptheconditionofmi)【ingoncontimlousportionanddispersedportionofthesystemstoestimatesyntheticaHv．So，whenthesymbolsqUestionsofoneorderofderiVativeforL可npunot’functionareuncertain，andthegene

8、ralizedsecondorderderiva意ivesofsyStemexistandthesy珈【boliscoIlfirmed，usethismethodstudyiInpulsivefunctionaldi髓rentiaLlsystemsve巧muclle舵ctive．Inrecentyears，the叭icleofstabilityofimpulsivedifI．erentialsystememplo