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A self-adaptive synchronization controller for Liu chaotic systems

YIN Bang-yong PU Xing-cheng WANG Ji-feng FU Qiang

重庆邮电大学学报(自然科学版)2009,Vol.21Issue(2):235-238,4.
重庆邮电大学学报(自然科学版)2009,Vol.21Issue(2):235-238,4.

A self-adaptive synchronization controller for Liu chaotic systems

A self-adaptive synchronization controller for Liu chaotic systems

YIN Bang-yong 1PU Xing-cheng 2WANG Ji-feng 3FU Qiang4

作者信息

  • 1. School of Physics and Mathematics, Chongqing University ,Chongqing 400030, P.R. China
  • 2. School of Physics and Mathematics,Chongqing University of posts and telecommunications,Chongqing 400065, P.R. China
  • 3. School of Physics and Mathematics,Chongqing University of posts and telecommunications,Chongqing 400065, P.R. China
  • 4. Automation Department, Chongqing University of Posts and Telecommunications, Chongqing 400065, P.R. China
  • 折叠

摘要

Abstract

A kind of synchronization controller for Liu chaotic systems whose nonlinear components are subject to Lipschitz condition was proposed. By using Lyapunov function and linear matrix inequality technique, a self-adaptive synchronization controller was constructed for Liu chaotic systems. There are two components of our derived synchronization controller: linear and nonlinear component. Linear component is composed of errors of the state variables between driving-systems and responding-stems, and nonlinear component is a self-adaptive synchronization controller. a proof was given for proving the feasibility of this method, and numerical simulations of Liu chaotic systems show its effectiveness. Furthermore, this method can be applied to other chaotic systems, such as Chen systems, Lorenz systems, Chua systems and Rssler systems,etc.

关键词

self-adaptive synchronization control/Liu chaotic systems/Lyapunov function/linear matrix inequality

Key words

self-adaptive synchronization control/Liu chaotic systems/Lyapunov function/linear matrix inequality

分类

信息技术与安全科学

引用本文复制引用

YIN Bang-yong,PU Xing-cheng,WANG Ji-feng,FU Qiang..A self-adaptive synchronization controller for Liu chaotic systems[J].重庆邮电大学学报(自然科学版),2009,21(2):235-238,4.

基金项目

This work supported by the Science Foundation of Chongqing Education Department(KJ060506)and Doctor Foundation of Chongqing University of Posts and Telecommunications(A2006-85) (KJ060506)

重庆邮电大学学报(自然科学版)

OA北大核心CSTPCD

1673-825X

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