Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters

被引：49
|
作者：
Zhou, Xiaobing [1 ]
Wu, Yue [1 ]
Li, Yi. [1 ]
Xue, Hongquan [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Engn & Comp Sci, Chengdu 610054, Sichuan, Peoples R China
[2] Xian Univ Technol, Sch Business Management, Xian 710048, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 01期
关键词：
hyperchaotic system; adaptive control; adaptive synchronization; Lyapunov stability theory;
D O I：
10.1016/j.amc.2008.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problems of control and synchronization of a novel hyperchaotic system with uncertain parameters are studied. Based on the Lyapunov stability theory and the adaptive control theory, this uncertain hyperchaotic system is suppressed to its unstable equilibrium. Furthermore, synchronization between two identical uncertain hyperchaotic systems is achieved by proposing an adaptive control law and a parameter estimation update law. Numerical simulations are presented to demonstrate the analytical results. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：80 / 85
页数：6
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