Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks  

作　　者：张化光 马铁东 浮洁 佟绍成 

机构地区：[1]Key Laboratory of Integrated Automation for the Process Industry,Ministry of Education,Northeastern University [2]School of Information Science and Engineering,Northeastern University [3]Department of Mathematics and Physics,Liaoning University of Technology

出　　处：《Chinese Physics B》2009年第9期3742-3750,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos 60534010,60774048,60728307,60804006 and 60521003);the National High Technology Research and Development Program of China (Grant No 2006AA04Z183);Liaoning Provincial Natural Science Foundation,China (Grant No 20062018);the State Key Development Program for Basic Research of China (Grant No 2009CB320601);111 Project (Grant No B08015)

摘　　要：In this paper, the global impulsive exponential synchronization problem of a class of chaotic delayed neural networks （DNNs） with stochastic perturbation is studied. Based on the Lyapunov stability theory, stochastic analysis approach and an efficient impulsive delay differential inequality, some new exponential synchronization criteria expressed in the form of the linear matrix inequality （LMI） are derived. The designed impulsive controller not only can globally exponentially stabilize the error dynamics in mean square, but also can control the exponential synchronization rate. Furthermore, to estimate the stable region of the synchronization error dynamics, a novel optimization control al- gorithm is proposed, which can deal with the minimum problem with two nonlinear terms coexisting in LMIs effectively. Simulation results finally demonstrate the effectiveness of the proposed method.In this paper, the global impulsive exponential synchronization problem of a class of chaotic delayed neural networks （DNNs） with stochastic perturbation is studied. Based on the Lyapunov stability theory, stochastic analysis approach and an efficient impulsive delay differential inequality, some new exponential synchronization criteria expressed in the form of the linear matrix inequality （LMI） are derived. The designed impulsive controller not only can globally exponentially stabilize the error dynamics in mean square, but also can control the exponential synchronization rate. Furthermore, to estimate the stable region of the synchronization error dynamics, a novel optimization control al- gorithm is proposed, which can deal with the minimum problem with two nonlinear terms coexisting in LMIs effectively. Simulation results finally demonstrate the effectiveness of the proposed method.

关 键 词：exponential synchronization chaotic delayed neural networks impulsive control stochastic perturbation 

分 类 号：O415.5[理学—理论物理]