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
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
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.
Received: 27 April 2004
Revised: 30 June 2004
Accepted manuscript online:
Fund: 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
Cite this article:
Zhang Hao (张浩), Ma Xi-Kui (马西奎), Yang Yu (杨宇), Xu Cui-Dong (徐翠东) Generalized synchronization of hyperchaos and chaos using active backstepping design 2005 Chinese Physics 14 86
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