Global chaos synchronization of new chaotic systems via nonlinear control

被引:216
作者
Chen, HK [1 ]
机构
[1] Hsiuping Inst Technol, Dept Ind Management, Dali City, Taichung, Taiwan
关键词
D O I
10.1016/j.chaos.2004.06.040
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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) = 1/2e(T)e. 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. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1245 / 1251
页数:7
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