Chaos control for synchronization of chaotic system

doi:10.3778/j.issn.1002-8331.2011.04.061

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (4): 219-222.DOI: 10.3778/j.issn.1002-8331.2011.04.061

• 工程与应用 • Previous Articles Next Articles

Chaos control for synchronization of chaotic system

TAN Wen1，LI Zhipan1，WANG Yaonan2，WU Xuedong3

1.College of Information & Electrical Engineering，Hunan University of Science and Technology，Xiangtan，Hunan 411201，China
2.College of Electrical & Information Engineering，Hunan University，Changsha 410082，China
3.College of Electronics & Information Engineering，Jiangsu University of Science and Technology，Zhenjiang，Jiangsu 212003，China

Received:2009-09-14 Revised:2009-11-30 Online:2011-02-01 Published:2011-02-01
Contact: TAN Wen

一个混沌系统的同步控制研究

谭文¹，李志攀¹，王耀南²，伍雪冬³

1.湖南科技大学信息与电气工程学院，湖南湘潭 411201
2.湖南大学电气与信息工程学院，长沙 410082
3.江苏科技大学电子信息学院，江苏镇江 212003

通讯作者: 谭文

Abstract

Abstract: Chaos synchronization problem of a chaotic system is studied.Three different methods involving linear feedback method，nonlinear feedback method and impulsive control method are used to synchronize the chaotic system.Based on the Lyapunov stability theory and the impulsive control technique，the conditions of synchronization are discussed，and they are also proved theoretically.Numerical simulations are provided to show the effectiveness of the three different methods.

Key words: chaos synchronization, feedback control, impulsive control, Lyapunov theory

摘要： 研究了一个混沌系统的混沌同步控制问题。分别采用线性反馈控制方法、非线性反馈方法、脉冲控制方法对该混沌系统进行同步控制。基于Lyapunov稳定性理论和脉冲控制技术，对同步的充分条件进行了讨论，并给出了相应的理论证明。数值仿真证明了这三种不同方法的有效性。

关键词: 混沌同步, 反馈控制, 脉冲控制, Lyapunov理论

CLC Number:

O415

TAN Wen1，LI Zhipan1，WANG Yaonan2，WU Xuedong3. Chaos control for synchronization of chaotic system[J]. Computer Engineering and Applications, 2011, 47(4): 219-222.

谭文¹，李志攀¹，王耀南²，伍雪冬³. 一个混沌系统的同步控制研究[J]. 计算机工程与应用, 2011, 47(4): 219-222.

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Chaos control for synchronization of chaotic system

一个混沌系统的同步控制研究

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