参数未知时滞混沌系统的自适应同步  

Adaptive synchronization for time-delay chaotic system with unknown parameter

作　　者：刘国刚[1] 

机构地区：[1]广东商学院数学与计算科学系,广东广州510320

出　　处：《电路与系统学报》2008年第1期106-109,共4页Journal of Circuits and Systems

基　　金：国家自然科学基金资助项目(10371136)

摘　　要：考虑参数不确定的多维时滞混沌系统作为驱动系统(发射系统),系统的未知参数能够在系统中线性表示。采用参数辨识与自适应技术,在响应系统(接收系统)中应用线性反馈与参数自适应控制,使得驱动系统与响应系统能够混沌同步,并且响应系统的参数逐步逼近驱动系统的参数。利用Lyapunov泛函与最大不变集原理(Lassel)给出了理论分析与证明。理论分析与数值模拟结果表明该自适应控制同步策略的有效性。Study the time-delay chaotic system with unknown parameter as the master system in the chaotic synchronization. The parameters can be expressed linearly in the system. Based on the adaptive strategy and linear control in the slave system, the error of the two systems can be asymptotically stable and the unknown parameters are estimated. The analysis and proof are given by means of the Lyapunov functional and the Lassel invariant principle are used. The two dimension Ikeda chaotic system with unknown parameters is simulated to illustrate theoretical results.

关 键 词：混沌控制 混沌同步 时滞系统 参数自适应 

分 类 号：TN92[电子电信—通信与信息系统] O231.2[电子电信—信息与通信工程]