基于牵制控制复杂动力学网络同步的研究

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6、‰Ñ¢yÓÚ¿©^‡"'…c:ÓÚ;V›››;êÍÜ‘;àaÓÚ;ìä;óÀK•IIIAbstractDuringlastdecades,thegreatdevelopmentofinformationtechnologyandinterdisciplinarytheoryhasmadethestudyofcomplexnetworksattractmoreandmoreattentionofexpertsandscholarsfromvariouseldsincludingphysics,bi

7、ology,chemistry,economicsmathematics,etc.Amongthecomplexnetworksynchronizationcontrolstrategies,pinningcontrolstrategy,asakindofverypracticalsignicanceandeasyoperationcontrolmethod,waswidelyresearch.Basedonpreviousresearchwork,thispaperconsideredthreekin

8、dsofpracticalnetworkonthebasisofpinningcontrolstrategy.Firstly,thesynchronizationofthedynamicalnetworkwithnon-derivativeandderivativecou-plingisinvestigated.Forachievingthepinningsynchronization,thecontrollersaredesignedandappliedtoonlyasmallfractionofnod

9、es.Bothlinearandadaptivefeedbackcontrolmethodsareusedtodesigncontrollers.BasedonLyapunovstabilitytheory,severalsimpleandusefulcriteriaforpinningsynchronizationarederived.Finally,numericalsimulationsaregiventoverifyt