On almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients and time-varying delays

被引:15
作者
Zhao, Weirui [1 ,2 ]
Zhang, Huanshui [2 ]
机构
[1] Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China
[2] Harbin Inst Technol, Shenzhen Grad Sch, Shenzhen 518055, Peoples R China
基金
中国博士后科学基金;
关键词
shunting cellular neural networks; time-varying delays; almost periodic solution; local exponential stability;
D O I
10.1016/j.nonrwa.2007.05.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the shunting cellular neural networks with variable coefficients and time-varying delays. By applying Dini derivative and introducing many real parameters, a series of new and useful criteria on the existence and local exponential stability for general shunting inhibitory cellular neural networks have been derived. Those results obtained in this paper extend and generalize the corresponding results existing in the previous literature. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2326 / 2336
页数:11
相关论文
共 9 条
[1]   SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS - DERIVATION AND STABILITY ANALYSIS [J].
BOUZERDOUM, A ;
PINTER, RB .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (03) :215-221
[2]   Almost periodic solution of shunting inhibitory CNNs with delays [J].
Chen, AP ;
Cao, JD .
PHYSICS LETTERS A, 2002, 298 (2-3) :161-170
[3]   Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients [J].
Chen, Ling ;
Zhao, Hongyong .
CHAOS SOLITONS & FRACTALS, 2008, 35 (02) :351-357
[4]  
He CY, 1992, ALMOST PERIODIC DIFF
[5]   Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay [J].
Huang, X ;
Cao, JD .
PHYSICS LETTERS A, 2003, 314 (03) :222-231
[6]   Global exponential stability of periodic solution for shunting inhibitory CNNs with delays [J].
Li, YK ;
Liu, CC ;
Zhu, LF .
PHYSICS LETTERS A, 2005, 337 (1-2) :46-54
[7]   Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays [J].
Liu, Bingwen ;
Huang, Lihong .
CHAOS SOLITONS & FRACTALS, 2007, 31 (01) :211-217
[8]   Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays [J].
Liu, BW ;
Huang, LH .
PHYSICS LETTERS A, 2006, 349 (1-4) :177-186
[9]   Dynamics of Cohen-Grossberg neural network with variable coefficients and time-varying delays [J].
Zhao, Weirui .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (03) :1024-1037