Global synchronization of discrete-time coupled neural networks with Markovian switching and impulses

作     者：Jie Tan Chuandong Li 

作者机构：College of Electronic and Information EngineeringSouthwest University Chongqing 400715 P. R. China College of Mathematics and PhysicsChongqing University of Science and Technology Chongqing 401331 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第3期

页      面：157-176页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 0801[工学-力学（可授工学、理学学位）] 

基　　金：NPRP from Qatar National Research Fund [4-1162-1-181] Natural Science Foundation of China [61374078, 61403313] National Science Funds of Chongqing [cstc2013jcyjA10049] 

主　　题：Global synchronization coupled neural networks Markovian switching impulses. 

摘      要：This paper is concerned with the problem of synchronization anMysis for discrete-time coupled neural networks. The networks under consideration are subject to： （1） the jump- ing parameters that are modeled as a continuous-time, discrete-state Markov process; （2） impulsive disturbances; and （3） time delays that include both the mode-dependent discrete and distributed delay. By constructing suitable Lyapuno-Krasovskii functional and combining with linear matrix inequality approach, several novel criteria are derived for verifying the global exponential synchronization in the mean square of such stochas- tic dynamical networks. The derived conditions are established in terms of linear matrix inequalities, which can be easily solved by some available software packages. A simu- lation example is presented to show the effectiveness and applicability of the obtained results,