An improved impulsive control approach to robust lag synchronization between two different chaotic systems

doi:10.1088/1674-1056/19/9/090502

Abstract In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally.

Keywords: chaotic systems robust lag synchronization impulsive control parametric uncertainty

Received: 14 December 2009
Revised: 27 January 2010
Accepted manuscript online:

PACS:

0545

Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR10170002).

Cite this article:

Ma Tie-Dong(马铁东), Fu Jie(浮洁), and Sun Yue(孙跃) An improved impulsive control approach to robust lag synchronization between two different chaotic systems 2010 Chin. Phys. B 19 090502

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An improved impulsive control approach to robust lag synchronization between two different chaotic systems

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