东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (5): 613-616.DOI: -

• 论著 • 上一篇    下一篇

一类参数不确定时滞混沌系统的反馈控制同步

谢英慧;张化光;王福山;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;沈阳炮兵学院基础部 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110162
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-05-15 发布日期:2013-06-22
  • 通讯作者: Xie, Y.-H.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274017,60325311);;

Feedback control synchronization for a class of delayed chaotic systems with uncertain parameters

Xie, Ying-Hui (1); Zhang, Hua-Guang (1); Wang, Fu-Shan (2)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2) Department of Foundation, Shenyang Artillery Academy, Shenyang 110162, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-05-15 Published:2013-06-22
  • Contact: Xie, Y.-H.
  • About author:-
  • Supported by:
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摘要： 首先利用Lyapunov稳定理论设计了状态反馈控制器,并基于线性矩阵不等式技术给出了实现时滞混沌系统全局渐近同步的充分条件.其次以时滞Chen混沌系统和时滞Lorenz混沌系统为例,根据所给出的定理,求解出线性矩阵不等式的解,并且使时滞Chen混沌系统和时滞Lorenz混沌系统渐近同步.两个例子说明了所设计的控制器实用有效,易于实现并通过仿真证明了该方法的有效性.

关键词: 时滞混沌系统, 反馈控制同步, 参数不确定, Lyapunov稳定理论, 线性矩阵不等式

Abstract: A state feedback controller was designed by Lyapunov stability theory, and the sufficient conditions were given to the implementation of synchronization of two delayed chaotic systems via linear matrix inequality technique. Taking the delayed Chen chaotic systems and the delayed Lorenz chaotic systems as example and according to the given theorem, the linear matrix inequality is solved so as to make the two systems asymptotically synchronous. These examinations show that the designed controller is easy to implement in practice and the simulation results demonstrate the effectiveness of the presented method.

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