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陈氏混沌系统的全局同步与自适应同步
Global synchronization and adaptive synchronization for Chen’s chaotic system
【摘要】 针对陈氏混沌系统提出了两种同步方案:全局同步和不确定参数的自适应同步.基于李亚普诺夫稳定性理论,研究了关于线性反馈耦合全局同步的一般性标准;对于参数未知或不确定的陈氏混沌系统,通过设计适当的控制器和参数自适应律,实现了两种陈氏混沌系统的自适应同步.仿真结果表明:两种同步均能实现陈氏混沌系统指数渐近同步,且同步效果良好,可应用于其他系列混沌系统.
【Abstract】 This paper presented two synchronization schemes for Chen′s chaotic system,that global synchronization and adaptive synchronization with unknown parameters.Based on Lyapunov stability theory and matrix measure,a simple generic criterion was derived for global synchronization with a unidirectional linear error feedback coupling.For Chen′s chaotic system with unknown or uncertain parameters,adaptive synchronization between two systems was implemented by designing proper controller and adaptive law of parameter.Numerical simulations demonstrate that exponentially asymptotically synchronization for Chen′s chaotic systems can be realized by two synchronization schemes,which proved to be effective and can be applied to a large class of other chaotic systems.
【Key words】 chaotic system; global synchronization; adaptive synchronization; control;
- 【文献出处】 华中科技大学学报(自然科学版) ,Journal of Huazhong University of Science and Technology(Nature Science Edition) , 编辑部邮箱 ,2007年12期
- 【分类号】O415.5
- 【被引频次】4
- 【下载频次】181