Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters

被引:21
|
作者
Al-sawalha, M. Mossa [1 ]
Noorani, M. S. M. [2 ]
机构
[1] Univ Hail, Dept Math, Fac Sci, Hail, Saudi Arabia
[2] Univ Kebangsaan Malaysia, Sch Math Sci, Ctr Modelling & Data Anal, Ukm Bangi 43600, Selangor, Malaysia
关键词
Reduced-order; Anti-synchronization; Adaptive control; Unknown parameters; ADAPTIVE SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS; SCHEME;
D O I
10.1016/j.cnsns.2011.07.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lu system (third-order), theoretical analysis and numerical simulations are shown to verify the results. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1908 / 1920
页数:13
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