一類混沌控制與同步的有效性研究.pdf

1、江蘇大學碩士學位論文一類混沌控制與同步的有效性研究姓名：章婷芳申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：姚洪興20050601江蘇大學殞：I學位論文AbstractChaosisveryinterestingnonlinearphenomenonItisfmmdtobeusefulorhasgreatpotentialChaoscontrolandsynchronizationhavebecomeausefulandimportantt

2、opicThispaperfocusesoilthechaoticsystemsanditscontrol，aimedatachievingchaoscontrolandsynchronizationfastFirstlyweanalyzesystemicallythehistoryandinternationalactualitiesoftheresearch，andwefommlatethebasictheoryofchaosdyn

3、amics，SecondlythechaoticcontrolofLFRBM’ssystemisstudiedbymeansoflinearfeedbackmethodandcoordinatetransformationforthesystem’aparametersknownortmknowninadvanceWhentheparametersareknown，thevariationrangeoffeedbackisshown；w

4、hentheparametersareunknown，anadaptivecontrollerisdesigned，withwhichthecontrolparameterscanbeadjustedautomaticallyItisprovedbyusingLyapunovfunctionthatthecontrolledsystemcanbeasymptoticallystabilizedtofiveequilibriumswith

5、thecontrollerThesimulationresultsvertifytheeffectivenessofproposedmethodsThirdb；Chert’schaoticsystemiscontrolledsuccessfullybymeansofsomefeedbackmethods，snchaslinearfeedback，nonlineal’feedback，differentialfeedback，delaye

6、dfeedbacketcBytheoreticalaria!)‘sisandsimu!alionexperiments，theeffectivenessofotlrproposedmethodsisvenified，thevariationrangeoffeedbackgainkisshowedFourthlytLet；“；80S掣scra≮controlledtoanydesiredsmoothorbitatanexponentrat

7、ebymulti—dimensionalvariabletrackingcontr01TheElwakitchaoticsyslemisconsideredasanexample，andElwakilchaoticsystemiscontrolledtoequilibraorcycle，andboththeselfsynchronizationandthesynchronizationwithRfSssler’schaoticsyste

8、maredisSussedaswelITheformofthecontrollerissimple，thespeedisquick，andtheapplicativerangeisextensiveIntheend，computersimulationsillustratetheeffectivenessoftheproposedmethod。Finallyanoptimalcontrolstrategythatdirectsakind

9、ofchaoticmotiontoanydesiredfixedpointisproposedbyusingBallman’sDynamicProgrammingandoptimalcontroltheory，ChuachaoticsystemandRucklidgechaoticsystemaretreatedasexamples。thesinmlationresultsverti母theeffectivenessofourpropo