A new criterion for chaos synchronization using linear state feedback control

被引:80
作者
Jiang, GP [1 ]
Chen, GR [1 ]
Tang, WKS [1 ]
机构
[1] City Univ Hong Kong, Visiting Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 08期
关键词
chaos; synchronization; lyapunov theory; LQ optimal control; Chua's circuit;
D O I
10.1142/S0218127403008004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies chaos synchronization between two coupled chaotic systems using linear state feedback control. A new, simple and yet easily applicable criterion is derived for chaos synchronization based on the Lyapunov stability theory and the Linear Quadratic Optimal Control theory. This criterion is given in terms of some simple algebraic inequalities established by the Gerschgorin theorem, and it is easily applicable to a large class of chaotic systems. As an example, the familiar Chua's circuit is simulated for demonstration.
引用
收藏
页码:2343 / 2351
页数:9
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