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Chin. Phys. B, 2008, Vol. 17(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

Zhang Hua-Guang(张化光)a), Ma Tie-Dong(马铁东)a), Yu Wenb), and Fu Jie(浮洁)a)
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
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.
Keywords:  chaotic systems      impulsive control      lag synchronization      parametric uncertainty  
Received:  19 April 2008      Revised:  02 June 2008      Accepted manuscript online: 
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, 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).

Cite this article: 

Zhang Hua-Guang(张化光), Ma Tie-Dong(马铁东), Yu Wen, and Fu Jie(浮洁) A practical approach to robust impulsive lag synchronization between different chaotic systems 2008 Chin. Phys. B 17 3616

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