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

被引：26
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 / 10期
关键词：
Reduced-order; Anti-synchronization; Adaptive control; Unknown parameters; HYPERCHAOTIC SYSTEMS;
D O I：
10.1016/j.cnsns.2009.11.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate 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 canonical projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: hyperchaotic Lorenz system (fourth-order) and Lorenz system (third-order); Lu hyperchaotic system (fourth-order) and Chen system (third-order). Theoretical analysis and numerical simulations are shown to verify the results. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：3022 / 3034
页数：13
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