中国物理B ›› 2005, Vol. 14 ›› Issue (1): 86-94.doi: 10.1088/1009-1963/14/1/017

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Generalized synchronization of hyperchaos and chaos using active backstepping design

张浩1, 杨宇1, 徐翠东1, 马西奎2   

  1. (1)School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China; (2)School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China;Key Laboratory of High Voltage Engineering and Electrical New Technology under the State Ministry of Education,Chongqing University, Chongqing,400044},China
  • 收稿日期:2004-04-27 修回日期:2004-06-30 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:
    Project supported in part by the Doctoral Foundation of Xi'an Jiaotong University, China (Grant NoDFXJTU2003-7) and by Visiting Scholar Foundation of Key Laboratory in University, China

Generalized synchronization of hyperchaos and chaos using active backstepping design

Zhang Hao (张浩)a, Ma Xi-Kui (马西奎)ab, Yang Yu (杨宇)a, Xu Cui-Dong (徐翠东)a    

  1. a School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; b Key Laboratory of High Voltage Engineering and Electrical New Technology under the State Ministry of Education, Chongqing University, Chongqing 400044, China
  • Received:2004-04-27 Revised:2004-06-30 Online:2005-01-20 Published:2005-01-20
  • Supported by:
    Project supported in part by the Doctoral Foundation of Xi'an Jiaotong University, China (Grant NoDFXJTU2003-7) and by Visiting Scholar Foundation of Key Laboratory in University, China

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摘要： A novel active backstepping control method is presented for synchronizing two identical R\"{o}ssler hyperchaotic systems with each other, and extended to achieve the generalized synchronization of the Chua chaotic system with the R\"{o}ssler hyperchaotic system. It is a systematic design approach and consists of a recursive procedure interlacing the choice of a Lyapunov function with the design of active control. In particular, this technique gives flexibility in constructing a control law.Numerical experiments verify the feasibility and effectiveness of the proposed control technique.

关键词: generalized synchronization, hyperchaos, chaos, active backstepping design

Abstract: A novel active backstepping control method is presented for synchronizing two identical R?ssler hyperchaotic systems with each other, and extended to achieve the generalized synchronization of the Chua chaotic system with the R?ssler hyperchaotic system. It is a systematic design approach and consists of a recursive procedure interlacing the choice of a Lyapunov function with the design of active control. In particular, this technique gives flexibility in constructing a control law.Numerical experiments verify the feasibility and effectiveness of the proposed control technique.

Key words: generalized synchronization, hyperchaos, chaos, active backstepping design

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  • 0545