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1、ADissertationSubmittedtoShanghaiJiaoTongUniversityfortheMasterDegreeofEngineeringSynchronizationSwitchingControlofComplexNetworkBasedontheAverageDwellTimeSchemeMasterCandidate:NiuXinyuanStudentID:1100329108Major:ControlEngineeringSupervisor:LuJunguoSchoolofElectronic,Informationa
2、ndElectricalEngineeringShanghaiJiaoTongUniversityDecember2012萬(wàn)方數(shù)據(jù)萬(wàn)方數(shù)據(jù)萬(wàn)方數(shù)據(jù)上海交通大學(xué)碩士論文摘要基于平均駐留時(shí)間的復(fù)雜網(wǎng)絡(luò)同步切換控制摘要復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)無(wú)處不在,遍及自然界、生物系統(tǒng)和人類(lèi)社會(huì)。同步化是復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)一個(gè)重要研究方向,得到了越來(lái)越多的關(guān)注。然而在現(xiàn)實(shí)生活中,復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)在各種不確定因素的影響下,可能會(huì)發(fā)生拓?fù)浣Y(jié)構(gòu)的變化,從而影響自身的同步化。因此,研究拓?fù)浣Y(jié)構(gòu)變化的復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò),即復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò),有著重要的意義。本文基于平均駐留時(shí)間方法研究了復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò)的同步化問(wèn)
3、題,文章分為兩大部分。第一部分是對(duì)連續(xù)復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò)的同步控制分析,第二部分是對(duì)離散復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò)的同步控制分析。每部分又分為三大類(lèi),分別為節(jié)點(diǎn)本身具有混合時(shí)滯的復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò),節(jié)點(diǎn)之間具有耦合時(shí)滯的復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò)和具有非線性耦合的復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò)。對(duì)每一種復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò),我們給出了通過(guò)控制可同步子網(wǎng)絡(luò)和不可同步子網(wǎng)絡(luò)的激活時(shí)間,使整個(gè)切換網(wǎng)絡(luò)達(dá)到全局指數(shù)同步的充分條件,并且給出數(shù)值仿真驗(yàn)證結(jié)果的正確性。最后對(duì)全文的工作做了總結(jié),并展望了下一步的工作。關(guān)鍵詞:復(fù)雜動(dòng)態(tài)切換網(wǎng)絡(luò),平均駐留時(shí)間,線性矩陣不等式,全局指數(shù)同步,離散時(shí)滯,分布時(shí)滯I萬(wàn)方
4、數(shù)據(jù)上海交通大學(xué)碩士論文AbstractSYNCHRONIZATIONSWITCHINGCONTROLOFCOMPLEXNETWORKBASEDONTHEAVERAGEDWELLTIMESCHEMEABSTRACTComplexdynamicalnetworkcanbeseeneverywhere,fromnature,biologicalsystemtohumansociety.Synchronizationisanimportantresearchdirectionofcomplexdynamicalnetworkandhasbeenreceivin
5、gmoreandmoreattentions.However,thenetworkwouldprobablychangesitstopologyinfluencedbysomeuncertainfactorsandthusdestroysthesynchronization.Soithasagreatsignificancetoresearchtheswitchednetwork.Thispaperinvestigatesthesynchronizationofthecomplexdynamicalswitchingnetworks(CDSNs)base
6、dontheaveragedwelltimescheme.Itisdividedintotwoparts.Thefirstpartanalyzesthesynchronizationcontrolproblemofcontinuouscomplexdynamicalswitchingnetwork,thesecondpartanalyzesthesynchronizationcontrolproblemofdiscretecomplexdynamicalswitchingnetwork.Eachpartconsistsofthreeaspects,whi
7、chareCDSNswithhybriddelaysinthenodesystems,CDSNswithcoupleddelaysamongnodesandCDSNswithnonlinearcouplednodes,respectively.AccordingtoeachkindofCDSN,sufficientconditionstomaketheCDSNachievegloballyexponentiallysynchronizationbycontrollingtheactivationII萬(wàn)方數(shù)據(jù)上海交通大學(xué)碩士論文Abstracttimeof
8、synchronizedsubnetworksanddesynchronized