中国物理B ›› 2008, Vol. 17 ›› Issue (2): 492-497.doi: 10.1088/1674-1056/17/2/025

• GENERAL • 上一篇    下一篇

Passive control and synchronization of hyperchaotic Chen system

张群娇, 陆君安   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2006-12-29 修回日期:2007-06-23 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60574045 and 70771084).

Passive control and synchronization of hyperchaotic Chen system

Zhang Qun-Jiao(张群娇) and Lu Jun-An(陆君安)†   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2006-12-29 Revised:2007-06-23 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60574045 and 70771084).

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摘要： This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asymptotical stability of the hyperchaotic Chen system and the error dynamical system, which avoids mistakes in Ref.[11], where function $W(z)$ cannot guarantee that $f_0(z)$ is globally asymptotically stable via only one output and $W(z)$ is the Lyapunov function of $f_0(z)$. Furthermore, numerical simulations are given to show the effectiveness of our method.

Abstract: This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asymptotical stability of the hyperchaotic Chen system and the error dynamical system, which avoids mistakes in Ref.[11], where function $W(z)$ cannot guarantee that $f_0(z)$ is globally asymptotically stable via only one output and $W(z)$ is the Lyapunov function of $f_0(z)$. Furthermore, numerical simulations are given to show the effectiveness of our method.

Key words: hyperchaotic Chen system, passive control, stability, synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)