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Chin. Phys. B, 2009, Vol. 18(9): 03751    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

Tong Shao-Chenga, Zhang Hua-Guangb, Ma Tie-Dongc, Fu Jiec
a Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China; b 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; c School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
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.
Keywords:  parametric uncertainty      chaotic systems      lag synchronization      dual-stage impulsive control     
Received:  01 November 2008      Published:  20 September 2009
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: 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).

Cite this article: 

Zhang Hua-Guang, Ma Tie-Dong, Fu Jie, Tong Shao-Cheng Robust lag synchronization between two different chaotic systems via dual-stage impulsive control 2009 Chin. Phys. B 18 03751

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