Reliable impulsive synchronization for a class of nonlinear chaotic systems

doi:10.1088/1674-1056/19/1/010507

Abstract The problem of reliable impulsive synchronization for a class of nonlinear chaotic systems has been investigated in this paper. Firstly a reliable impulsive controller is designed by using the impulsive control theory. Then by the uniform asymptotic stability criteria of systems with impulsive effects, some sufficient conditions for reliable impulsive synchronization between the drive system and the response system are obtained. Numerical simulations are given to show the effectiveness of the proposed method.

Keywords: chaotic systems synchronization reliable impulsive synchronization

Received: 29 December 2008
Revised: 23 June 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.30.Yy	(Control theory)
	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 No. 10872080) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.~09KJB510018).

Cite this article:

Zhang Li-Ping(张丽萍), Jiang Hai-Bo(姜海波), and Bi Qin-Sheng(毕勤胜) Reliable impulsive synchronization for a class of nonlinear chaotic systems 2010 Chin. Phys. B 19 010507

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Reliable impulsive synchronization for a class of nonlinear chaotic systems

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