中国物理B ›› 2008, Vol. 17 ›› Issue (2): 503-506.doi: 10.1088/1674-1056/17/2/027

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Adaptive synchronization of uncertain Liu system via nonlinear input

胡 佳1, 张群娇2   

  1. (1)Research Center for System Science, Wuhan University of Science and Technology, Wuhan 430081, China; (2)School of Mathematics & Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2007-04-04 修回日期:2007-05-03 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the Educational Commission of Hubei Province of China, (Grant No 080056).

Adaptive synchronization of uncertain Liu system via nonlinear input

Hu Jia(胡佳)a)† and Zhang Qun-Jiao(张群娇)b)‡   

  1. a Research Center for System Science, Wuhan University of Science and Technology, Wuhan 430081, China; b School of Mathematics & Statistics, Wuhan University, Wuhan 430072, China
  • Received:2007-04-04 Revised:2007-05-03 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the Educational Commission of Hubei Province of China, (Grant No 080056).

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摘要： This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with total parameters unknown. This method is simple and can be easily designed. What is more, it improves the existing conclusions in Ref [12]. Simulation results prove that the controller is effective and feasible in the end.

关键词: adaptive synchronization, Liu system, uncertain parameters, nonlinear controller

Abstract: This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with total parameters unknown. This method is simple and can be easily designed. What is more, it improves the existing conclusions in Ref [12]. Simulation results prove that the controller is effective and feasible in the end.

Key words: adaptive synchronization, Liu system, uncertain parameters, nonlinear controller

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)