Reliable impulsive synchronization for a class of nonlinear chaotic systems

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

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10507-010507.doi: 10.1088/1674-1056/19/1/010507

Reliable impulsive synchronization for a class of nonlinear chaotic systems

毕勤胜¹, 张丽萍², 姜海波³

(1)Faculty of Science, Jiangsu University, Zhenjiang 212013, China; (2)Faculty of Science, Jiangsu University, Zhenjiang 212013, China;School of Mathematics, Yancheng Teachers University, Yancheng 224051, China; (3)School of Mathematics, Yancheng Teachers University, Yancheng 224051, China

收稿日期:2008-12-29 修回日期:2009-06-23 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
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).

Reliable impulsive synchronization for a class of nonlinear chaotic systems

Zhang Li-Ping(张丽萍)^a)b)†, Jiang Hai-Bo(姜海波)^b), and Bi Qin-Sheng(毕勤胜)^a)

^a Faculty of Science, Jiangsu University, Zhenjiang 212013, China; ^b School of Mathematics, Yancheng Teachers University, Yancheng 224051, China

Received:2008-12-29 Revised:2009-06-23 Online:2010-01-15 Published:2010-01-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: chaotic systems, synchronization, reliable impulsive synchronization

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

02.30.Yy (Control theory) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)

张丽萍, 姜海波, 毕勤胜. Reliable impulsive synchronization for a class of nonlinear chaotic systems[J]. 中国物理B, 2010, 19(1): 10507-010507.

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[J]. Chin. Phys. B, 2010, 19(1): 10507-010507.

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Reliable impulsive synchronization for a class of nonlinear chaotic systems

Reliable impulsive synchronization for a class of nonlinear chaotic systems

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