Global chaos synchronization of new chaotic systems via nonlinear control

被引：216

作者：

Chen, Hsien-Keng ^{[1
]}

机构：

[1] Department of Industrial Management, Hsiuping Institute of Technology, Dali City, Taichung

来源：

Chaos, Solitons and Fractals | 2005年 / 23卷 / 04期

关键词：

Computer simulation - Error analysis - Functions - Lyapunov methods - Nonlinear control systems - Synchronization;

D O I：

10.1016/j.chaos.2004.06.040

中图分类号：

学科分类号：

摘要：

Nonlinear control is an effective method for making two identical chaotic systems or two different chaotic systems be synchronized. However, this method assumes that the Lyapunov function of error dynamic (e) of synchronization is always formed as V(e) = 1/2eTe. In this paper, modification based on Lyapunov stability theory to design a controller is proposed in order to overcome this limitation. The method has been applied successfully to make two identical new systems and two different chaotic systems (new system and Lorenz system) globally asymptotically synchronized. Since the Lyapunov exponents are not required for the calculation, this method is effective and convenient to synchronize two identical systems and two different chaotic systems. Numerical simulations are also given to validate the proposed synchronization approach. © 2004 Elsevier Ltd. All rights reserved.

引用

页码：1245 / 1251

页数：6

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