幾類復雜網(wǎng)絡模型的動力學行為研究.pdf

1、東南大學碩士學位論文幾類復雜網(wǎng)絡模型的動力學行為研究姓名：王蘭申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：曹進德20080801AbstractFromthe“sevenbridgesproblem“tothe“complexnetworksproblems“，networkstheoryhasbeenrapidlydevelopedbasedontheadvanceofsciencetechnologyandtheworkofresea

2、rchersFromtheⅥhldWideWebtotechnologycollaborationnetworkseconomynetworkstosocialnetworks，countrywidepowernetworksto910baltrafficnetworks，networksareeverywhereinrealworldandmakeourlifemoreandmoreconvenienceThecomplexnetwo

3、rkstheoryisasignificantfieldandhasattractedmuchattentionSomeresultsofthedynamicsproblemsincomplexnetworkshavebeengiveninthispaper：1Byintroducingdiscreteanddistributedtimedelays，dealingwithswitchedsystemsandstochasticdist

4、urbs，thegeneticregulatorynetworks(GRNS)modelisgivenTheconditionsobtainedcanensuretheglobalasymptoticstabilityinmeansquareofthemodelbasingonLyapunovstabilitytheoryandLinearMatrixInequality(LMI)Finallythesimulationexamplei

5、sshowntheeffectivenessoftheresults2Byusingcomputersimulation，themethodofstatisticsandsometechniquesofanalysis，threesocialdilemmamodelsisstudiedFromtheviewofanonlookingagentinthreegamemodels，therandomnetworksandsmallworld

6、networksarediscussedrespectivelyTheexperimentaldatavalidatestheChinesearchaism‘‘thespectatorismostclearheaded’isconditionalright3UsingLyapunovstabilitytheorythematrixtheorycombiningwiththetechniques。ofinequalities，theglo

7、balrobustpointdissipativityofanuncertainneuralnetworksmodelwithmixedtimevaryingdelays(discretetimedelaysanddistributedtimedelays)isinvestigated，andcriteriaareobtainedAtthelast，anexampleisalsogiventoshowtheresultsisfeasib