One input control of exponential synchronization for a four-dimensional chaotic system

被引：21
|
作者：
Yang, Chi-Ching [1 ]
机构：
[1] Hsiuping Univ Sci & Technol, Dept & Grad Sch Elect Engn, Taichung 41280, Taiwan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 10期
关键词：
Exponential synchronization; One input control; Lorenz-Stenflo chaotic system; GENERALIZED LORENZ EQUATIONS; ROSSLER SYSTEMS; HYPERCHAOS; FAMILY;
D O I：
10.1016/j.amc.2012.11.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to concern the exponential synchronization of the four-dimensional (4D) Lorenz-Stenflo chaotic system by utilizing one input linear feedback control. There are two main results provided. Firstly, for two identical chaotic systems, two types of one input controllers with single state linear feedback applied to the slave system are introduced. Then, these one input linear feedback controllers associated with the corresponding system parameter updated rules are also developed for two non-identical chaotic systems. Sufficient conditions are proven based on the exponential stability and numerical simulations are proposed to demonstrate the effectiveness of the present schemes. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：5152 / 5161
页数：10
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