Synchronization criteria for coupled Hopfield neural networks with time-varying delays  

作　　者：M.J.Park O.M.Kwon Ju H.Park S.M.Lee E.J.Cha 

机构地区：[1]School of Electrical Engineering,Chungbuk National University [2]Department of Electrical Engineering,Yeungnam University [3]School of Electronic Engineering,Daegu University [4]Department of Biomedical Engineering,School of Medicine,Chungbuk National University

出　　处：《Chinese Physics B》2011年第11期140-150,共11页中国物理B（英文版）

基　　金：supported by the Basic Science Research Program Through the National Research Foundation of Korea(NRF) Funded by the Ministry of Education,Science and Technology(Grant Nos.2011-0001045 and 2011-0009273)

摘　　要：This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov Krasovskii＇s functional and use of Finsler＇s lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities （LMIs） which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov Krasovskii＇s functional and use of Finsler＇s lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities （LMIs） which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

关 键 词：Hopfield neural networks coupling delay SYNCHRONIZATION Lyapunov method 

分 类 号：O231[理学—运筹学与控制论]