引用本文:王建根,赵 怡.时滞输出反馈非恒同主从耦合混沌系统一致同步的判据[J].控制理论与应用,2005,22(4):543~546.[点击复制]
WANG Jian-gen, ZHAO Yi.Uniform synchronization criterion for nonidentical coupled master-slave chaotic system under time-lag output feedback control[J].Control Theory and Technology,2005,22(4):543~546.[点击复制]
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
摘要点击 1365  全文点击 1106  投稿时间:2004-02-27  修订日期:2004-08-18
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  10.7641/j.issn.1000-8152.2005.4.006
  2005,22(4):543-546
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
基金项目  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).
作者单位
王建根,赵 怡 中山大学数学与计算科学学院,广东广州510275
佛山职业技术学院,广东佛山528001 
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.