中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3616-3622.doi: 10.1088/1674-1056/17/10/014

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A practical approach to robust impulsive lag synchronization between different chaotic systems

Yu Wen1, 张化光2, 马铁东2, 浮 洁2   

  1. (1)Departamento de Control Automatico CINVESTAV-IPN Av. IPN #2508, Mexico D.F. 07360, Mexico; (2)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • 收稿日期:2008-04-19 修回日期:2008-06-02 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the National Natural Science foundation of China (Grant Nos 60534010, 60572070, 60774048 and 60728307), the Program for Changjiang Scholars and Innovative Research Team in University (Grant No 60521003) and the National High Technology Research and Development Program of China (Grant No 2006AA04Z183).

A practical approach to robust impulsive lag synchronization between different chaotic systems

Zhang Hua-Guang(张化光)a)†, Ma Tie-Dong(马铁东)a), Yu Wenb), and Fu Jie(浮洁)a)   

  1. a School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; b Departamento de Control Automatico CINVESTAV-IPN Av. IPN #2508, Mexico D.F. 07360, Mexico
  • Received:2008-04-19 Revised:2008-06-02 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the National Natural Science foundation of China (Grant Nos 60534010, 60572070, 60774048 and 60728307), the Program for Changjiang Scholars and Innovative Research Team in University (Grant No 60521003) and the National High Technology Research and Development Program of China (Grant No 2006AA04Z183).

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摘要： In this paper, a practical impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. By virtue of the new definition of synchronization and the theory of impulsive differential equations, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined level. The idea and approach developed in this paper can provide a more practical framework for the synchronization between identical and different chaotic systems in parameter perturbation circumstances. Simulation results finally demonstrate the effectiveness of the method.

关键词: chaotic systems, impulsive control, lag synchronization, parametric uncertainty

Abstract: In this paper, a practical impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. By virtue of the new definition of synchronization and the theory of impulsive differential equations, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined level. The idea and approach developed in this paper can provide a more practical framework for the synchronization between identical and different chaotic systems in parameter perturbation circumstances. Simulation results finally demonstrate the effectiveness of the method.

Key words: chaotic systems, impulsive control, lag synchronization, parametric uncertainty

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)