复混沌系统和分数阶系统控制与同步问题分析

《复混沌系统和分数阶系统控制与同步问题分析》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、重庆大学硕士学位论文英文摘要ABSTRACTChaosmotionwhichisaspecialmovementofthenonlineardynamicexistsineveryareaofnature.Aschaoscontrolhasbeenwidelyusedinbiology,fluidmechanic,powersystemandsecurecommunication,etc.Chaoshasattractedmanyscholars’attentionsinceitwasfound.Thisarticlestudiesonthr

2、eedifferentchaoticsystemsrespectively.Themaincontributionsareasfollows.①Thearticleintroducesthemathematicalmodelofaclassoffractionalorderchaoticsystemswithunknownparameters.Thenitdesignsaappropriatecontrollerandadaptivelawoftheparameters,whichmakethesystemcantracktoanygiven

3、signal.Finally,thesimulationoffractionalorderNewton-Leipniksystemarepresentedtoshowtheefficiencyoftheconclusion.②BasedontheLyapunovstabilitytheory,thepaperaddsanimpulsecontroltothegeneralmathematicalmodelof3Dcomplexchaoticsystems,selectsaappropriatecontroller.Theexponential

4、stabilityorasymptoticstabilityofthesystemcanbeachievedwhensomespecificconditionssatisfied.Thecorollariesofexponentialstabilityandasymptoticstabilityareobtainedafterconsideringthreekindsofspecialcases.Further,thepaperusespulsesynchronizationtosynchronizetwodefinitecomplexcha

5、oticsystems.Finally,numericalsimulationswithMatlabarepresentedtoshowtheavailabilityofthemethod.③Bytakingfractionalordercomplex-variablesystemasstudyobject,addingpulseandcontrol,selectingthecontrollerreasonably,theessaystudiestheself-synchronizationandsynchronizationoffracti

6、onalordercomplex-variablesystemwithimpulsiveadaptivemethod.Keywords:Controlandsynchronization,Adaptive,Complexchaos,ImpulsiveII重庆大学硕士学位论文目录目录中文摘要.................................................................................................................................

7、...........I英文摘要...........................................................................................................................................II1绪论..................................................................................................................

8、.........................11.1研究背景.................................................