中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3751-3757.doi: 10.1088/1674-1056/18/9/023

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Robust lag synchronization between two different chaotic systems via dual-stage impulsive control

佟绍成1, 张化光2, 马铁东3, 浮洁3   

  1. (1)Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China; (2)Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China;School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (3)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • 收稿日期:2008-11-01 修回日期:2008-11-24 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60534010, 60774048, 60728307, 60804006 and 60521003), the National High Technology Research and Development Program of China (Grant No 2006AA04Z183), Liaoning Provincial Natural Science Foundation of China (Grant No 20062018), State Key Development Program for Basic research of China (Grant No 2009CB320601), and 111 Project, China (Grant No B08015).

Robust lag synchronization between two different chaotic systems via dual-stage impulsive control

Zhang Hua-Guang(张化光)a)b)†, Ma Tie-Dong(马铁东)b), Fu Jie(浮洁)b), and Tong Shao-Cheng(佟绍成)c)   

  1. a Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China; b School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; c Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China
  • Received:2008-11-01 Revised:2008-11-24 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60534010, 60774048, 60728307, 60804006 and 60521003), the National High Technology Research and Development Program of China (Grant No 2006AA04Z183), Liaoning Provincial Natural Science Foundation of China (Grant No 20062018), State Key Development Program for Basic research of China (Grant No 2009CB320601), and 111 Project, China (Grant No B08015).

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摘要： In this paper, an improved impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the new definition of synchronization with error bound and a novel impulsive control scheme (the so-called dual-stage impulsive control), some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined level, which is more reasonable and rigorous than the existing results. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Finally, some numerical simulations for the Lorenz system and the Chen system are given to demonstrate the effectiveness and feasibility of the proposed method.

Abstract: In this paper, an improved impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the new definition of synchronization with error bound and a novel impulsive control scheme (the so-called dual-stage impulsive control), some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined level, which is more reasonable and rigorous than the existing results. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Finally, some numerical simulations for the Lorenz system and the Chen system are given to demonstrate the effectiveness and feasibility of the proposed method.

Key words: chaotic systems, lag synchronization, dual-stage impulsive control, 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)