Adaptive anti-synchronization of chaotic systems with fully unknown parameters

被引：45

作者：

Al-sawalha, M. Mossa ^{[1
]}

Noorani, M. S. M. ^{[1
]}

Al-dlalah, M. M. ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Ctr Modelling & Data Anal, Ukm Bangi 43600, Selangor, Malaysia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 10期

关键词：

Lorenz system; Chen system; Anti-synchronization; Adaptive control; Unknown parameters; HYPERCHAOTIC SYSTEMS;

D O I：

10.1016/j.camwa.2010.03.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper centers on the chaos anti-synchronization between two identical or different chaotic systems using adaptive control. The sufficient conditions for achieving the anti-synchronization of two chaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the Chen system is controlled to be the Lorenz system. Theoretical analysis and numerical simulations are shown to verify the results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3234 / 3244

页数：11

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