Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay

被引:112
作者
Huang, X [1 ]
Cao, JD [1 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
关键词
shunting inhibitory cellular neural networks (SICNNs); almost periodic solution; Halanay inequality;
D O I
10.1016/S0375-9601(03)00918-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Several sufficient conditions are obtained for the existence of almost periodic solution and its attractivity of shunting inhibitory cellular neural networks with time-varying delay based on the fixed point method and Halanay inequality technique. Some previous results are improved and extended in this Letter and two examples are given to illustrate the effectiveness of the new results. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:222 / 231
页数:10
相关论文
共 30 条
[1]  
[Anonymous], 1991, P SPIE
[2]   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
[3]  
Bouzerdoum A., 1992, NONLINEAR VISION, P423
[4]  
Bouzerdoum A., 1990, P INT JOINT C NEUR N
[5]   On exponential stability and periodic solutions of CNNs with delays [J].
Cao, J .
PHYSICS LETTERS A, 2000, 267 (5-6) :312-318
[6]   A set of stability criteria for delayed cellular neural networks [J].
Cao, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498
[7]   Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].
Cao, J ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44
[8]   Global stability conditions for delayed CNNs [J].
Cao, J. .
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333
[9]   New results concerning exponential stability and periodic solutions of delayed cellular neural networks [J].
Cao, JD .
PHYSICS LETTERS A, 2003, 307 (2-3) :136-147
[10]   On stability of delayed cellular neural networks [J].
Cao, JD .
PHYSICS LETTERS A, 1999, 261 (5-6) :303-308