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
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 Rssler systems,etc.关键词
self-adaptive synchronization control/Liu chaotic systems/Lyapunov function/linear matrix inequalityKey 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)