W^(1,2)(Ω)-and X^(1,2)(Ω)-stability of reactiondiffusion cellular neural networks with delay  

作　　者：LUO YiPing XIA WenHua LIU GuoRong DENG FeiQi 

机构地区：[1]Hunan Institute of Engineering, Xiangtan 411101, China [2]Institute of System Engineering, South China University of Technology, Guangzhou 510640, China

出　　处：《Science in China(Series F)》2008年第12期1980-1991,共12页中国科学（F辑英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 60374023);the Natural Science Foundation of Hunan Province (Grant No. 07JJ6112);Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 04A012 and 07A015);the Construct Program of the Key Discipline in Hunan Province (Control Theory and Control Engineering)

摘　　要：With Poincare＇s inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems＇ W^1,2（Ω）-exponential and X^1,2（Ω）-asmptotic stability are obtained. The stability conditions containing diffusion term are different from those obtained in the previous papers in their exponential stability conditions. One example is given to illustrate the feasibility of this method in the end.With Poincare＇s inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems＇ W^1,2（Ω）-exponential and X^1,2（Ω）-asmptotic stability are obtained. The stability conditions containing diffusion term are different from those obtained in the previous papers in their exponential stability conditions. One example is given to illustrate the feasibility of this method in the end.

关 键 词：cellular neural networks REACTION-DIFFUSION W^1 2（Ω）- and X^1 2（Ω）-asymptotic stability DELAY 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]