时滞输出反馈非恒同主从耦合混沌系统一致同步的判据  

Uniform synchronization criterion for nonidentical coupled master-slave chaotic system under time-lag output feedback control

作　　者：王建根[1] 赵怡[1] 

机构地区：[1]中山大学数学与计算科学学院

出　　处：《控制理论与应用》2005年第4期543-546,共4页Control Theory & Applications

基　　金：国家自然科学基金项目资助(10371136);广东省自然科学基金项目资助(021765).

摘　　要：当主从耦合混沌系统的参数之间非恒同时,一般意义上的混沌同步难以实现,因此,讨论了其具有一定误差界的一致同步问题.本文对一类包含Lur’e系统和Lipschitz系统在内的混沌系统,应用Lyapunov函数方法导出通过时滞输出反馈控制实现一致同步的充分条件,该判据用矩阵不等式的形式给出.进而讨论了同步的鲁棒性问题.最后结合Chua电路对结论进行了数值模拟,验证了结论的正确性与有效性.It is difficult to achieve the synchronization for the master-slave chaotic systems with nonidentical parameters, so the uniform synchronization with a small error bound is discussed. For a class of chaotic systems which include Lur＇ e systems and Lipschitz systems,the sufficient criterion for uniform sysnchronization under time-lag output feedback control is deducecd by Lyapunov function method. It is given by matrix inequality. Moreover, the robustness problem is discussed and the simulation for chua＇ s circuit is made to illustrate the correctness and effectiveness of the conclusions.

关 键 词：非恒同主从耦合混沌系统 一致同步 CHUA电路 时滞输出反馈控制 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]