A novel adaptive-impulsive synchronization of fractional-order chaotic systems

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摘要 Anoveladaptive–impulsiveschemeisproposedforsynchronizingfractional-orderchaoticsystemswithoutthenecessityofknowingtheattractors’boundsinpriori.ThenonlinearfunctionsinthesesystemsaresupposedtosatisfylocalLipschitzconditionsbutwhichareestimatedwithadaptivelaws.Thenoveltyisthatthecombinationofadaptivecontrolandimpulsivecontroloffersacontrolstrategygatheringtheadvantagesofboth.Inordertoguaranteetheconvergenceisnolessthananexpectedexponentialrate,acombinedfeedbackstrengthdesigniscreatedsuchthatthesymmetricaxiscanshiftfreelyaccordingtotheupdatedtransientfeedbackstrength.AlloftheunknownLipschitzconstantsarealsoupdatedexponentiallyinthemeantimeofachievingsynchronization.Twodifferentfractional-orderchaoticsystemsareemployedtodemonstratetheeffectivenessofthenoveladaptive–impulsivecontrolscheme.
机构地区 不详
出处 《中国物理B:英文版》 2015年10期
出版日期 2015年10月20日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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