The aim of this paper is to study synchronization control for a class of chaotic systems whose nonlinear components are subject to Lipschitz condition.By using Lyapunov function and linear matrix inequality technique,...The aim of this paper is to study synchronization control for a class of chaotic systems whose nonlinear components are subject to Lipschitz condition.By using Lyapunov function and linear matrix inequality technique,a self-adaptive synchronization controller is constructed for the class of chaotic systems.Numerical simulations of Chen chaotic systems show the effectiveness of the method.Furthermore,this method can be applied to other chaotic systems,such as Lorenz system,Chua system and R?ssler system,et al.展开更多
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-adapti...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.展开更多
文摘The aim of this paper is to study synchronization control for a class of chaotic systems whose nonlinear components are subject to Lipschitz condition.By using Lyapunov function and linear matrix inequality technique,a self-adaptive synchronization controller is constructed for the class of chaotic systems.Numerical simulations of Chen chaotic systems show the effectiveness of the method.Furthermore,this method can be applied to other chaotic systems,such as Lorenz system,Chua system and R?ssler system,et al.
基金supported by the Science Foundation of Chongqing Education Department(KJ060506)Doctor Foundation of Chongqing University of Posts and Telecommunications(A2006-85)
文摘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.
