18716.系統(tǒng)有限時(shí)間穩(wěn)定相關(guān)問題研究

1、系統(tǒng)有限時(shí)間穩(wěn)定相關(guān)問題研究SomeTopicsontheControlTheoryofFiniteTimeStability作者：李黎明Author：指導(dǎo)教師：劉洋專業(yè)：應(yīng)用數(shù)學(xué)學(xué)Supervisor：堅(jiān)g圣i墜Major：AppliedMathematics一。●__●●_________●__●_I______________________●●______________________●●_____________一位：理學(xué)碩

2、士Degree：授予單位：浙江師范大學(xué)MasterofScienceInstitute：——ZhejiangNormalUniversity——June，2015AbstractFinitetimestabilityisanewconcept，whichisquitedifferentfromtheclassicalstabilityItisrecentlyattractingconsiderableinterestsAccording

3、totheactualbackground，manycomplexproblemscanbedescribedasfinitetimestableproblemTherecentdecadeshavewitnessedthegreatdevelopmentofresearchesonthestudyoffinitetimestabilitywhichplaysasignificantroleindesigningthesatellite

4、orbitandchemicalengineeringInthispaper，withthehelpoflinearmatrixinequalityandusingLyapunovfunctions，wediscussthefinitetimestableproblemondifferentsystemsbeconcrete，thecontributionsofthisdissertationareasfollows：Inrecenty

5、ears，multi—agentsystemshavereceivedmoreandmoreattentionduetothepotentialapplicationsofmulti—agentsystemsinmanydifferentareasincludingcooperativecontrolofvehicleformations，cooperativecontrolofunmannedairvehi—cles(UAVs)，co

6、ngestioncontrolincommunicationnetworks，swarmbasedcomputing，designofdistributedsensornetworksandSOonInmulti—agentsystems，agentsmayexperienceabruptchangesofstatesatcertaintimeinstantsThesemaybeduetochangesintheirneighbors，

7、suddenenvironmentchanges，etcTodescribemathematicallyallevolutionofarealprocesswithashort—termperturbation，itissometimesconvenienttoconsidertheseperturbationsintheformofimpulsesInbiologicalsystems，somestatesmaycorrespondt

8、ounfavorableofdangeroussituationsFurthermore，wede—scribetheuncertaintiesinthesystemsasrobustInchaptertwowefirstintroducedefinitionoffinitetimestableThenwestudythefinitetimestabilityofmulti—agentsystemswithimpulsiveeffect

9、sandrobust，andsomesufficientconditionsareobtainedforthefinitetimestabilityWeprovedthatforimpulsivesystems，theconnmmicationgraphcouldbeunconnected，whichislessconservativethanresultsinsomepapersInchapterthree，weinvestigate

10、thefinitetimestableofnonlinearimpulsivesys—temByusinganewconceptcalledaverageimpulseinterval(AII)，lessconservativeconditionsareobtainedfortheFTSproblemontheimpulsivesystemsThenweconsiderthelineartime—invariantsampled—dat