东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (4): 481-484.DOI: -

• 论著 • 上一篇    下一篇

一类时滞Ikeda混沌系统的自适应同步研究

谢英慧;张化光;   

  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 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-04-15 发布日期:2013-06-24
  • 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(6027401760325311);;

Adaptive synchronization for a class of delayed Ikeda chaotic systems

Xie, Ying-Hui (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-04-15 Published:2013-06-24
  • Contact: Xie, Y.-H.
  • About author:-
  • Supported by:
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摘要： 针对一类具有时滞的Ikeda混沌系统,研究了其自适应同步问题.所讨论的驱动和响应系统的结构不同,参数不同且部分参数未知.根据Lyapunov稳定理论及Barbalat引理,给出了自适应控制器的设计方法及参数自适应律的解析表达式.所设计的控制器实用有效,易于实现,能够使具有时滞的两个不同结构的Ikeda混沌系统渐近同步.该方法不仅适用于时滞Ikeda混沌系统,也适用于任何状态有界的连续时间时滞混沌系统的同步问题.仿真示例验证了该方法的有效性.

关键词: Ikeda混沌系统, 时滞, 自适应同步, 不同结构, 部分未知参数

Abstract: The adaptive synchronization is discussed for a class of delayed Ikeda chaotic systems, where the construction and part of parameters of drive and response systems are different with the rest of parameters unknown. Based on Lyapunov stability theory and Barbalat lemma, an adaptive synchronization controller is designed with the adaptive law of parameters given. The designed controller is easy to implement in practice to enable two different delayed Ikeda chaotic systems to synchronize asymptotically with each other. The proposed method is applicable to not only the delayed Ikeda chaotic systems but also the bounded and continuously delayed chaotic systems in any state. Simulation results verified the effectiveness of the method.

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