Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters

被引：35
|
作者：
Al-Sawalha, M. Mossa [1 ]
Noorani, M. S. M. [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Ctr Modelling & Data Anal, Bangi 43600, Selangor, Malaysia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 04期
关键词：
Hyperchaotic Lu system; Hyperchaotic Chen system; Anti-synchronization; Adaptive control; Unknown parameters; CHAOTIC SYSTEMS;
D O I：
10.1016/j.cnsns.2009.05.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper brings attention to hyperchaos anti-synchronization between two identical and different hyperchaotic systems by using adaptive control. The sufficient conditions for achieving the anti-synchronization of two hyperchaotic 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 hyperchaotic Chen system is controlled to be the hyperchaotic Lu system. Theoretical analysis and numerical simulations are shown to verify the results. (C) 2009 Elsevier B.V. All rights reserved.
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页码：1036 / 1047
页数：12
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