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

中文关键词  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

英文关键词  nonidentical coupled chaotic systems  uniform synchronization  Chua's circuit  time-lag output feedback control

中文摘要

      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.

英文摘要

      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.