H∞ synchronization of chaotic neural networks with time-varying delays  

作　　者：O. M. Kwon M. J. Park 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》2013年第11期244-252,共9页中国物理B（英文版）

基　　金：Project 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 No.2012-0000479);the Korea Healthcare Technology R&D Project,Ministry of Health and Welfare,Republic of Korea(Grant No.A100054)

摘　　要：In this paper, we investigate the problem of H∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov–Krasovskii functional and using a reciprocally convex approach, a novel H∞ synchronization criterion for the networks concerned is 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 method.In this paper, we investigate the problem of H∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov–Krasovskii functional and using a reciprocally convex approach, a novel H∞ synchronization criterion for the networks concerned is 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 method.

关 键 词：chaotic neural networks time-varying delays H∞ synchronization Lyapunov method 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]