Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters

被引:28
|
作者
Sun, Yonghui [1 ]
Cao, Jinde [1 ]
机构
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
adaptive synchronization; mean square asymptotic stability; noise perturbation; unknown parameters; update laws of parameters;
D O I
10.1016/j.physa.2006.10.039
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper investigates adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters. Based on Lyapunov stability theory, the general expression of the suitable nonlinear adaptive synchronization controller is developed. At the same time, the noise-perturbed update laws of parameters are proposed to guarantee the synchronization of two different unknown chaotic systems. Theoretical analysis and numerical simulations on adaptive synchronization between Rossler system and noise-perturbed Chua's circuits, Lorenz system and noise-perturbed Chen system with fully unknown parameters show the efficiency of the proposed adaptive scheme. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:253 / 265
页数:13
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