Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients

被引：13

作者：

Li, Yaqiong ^{[2
]}

Meng, Hua ^{[1
]}

Zhou, Qiyuan ^{[1
]}

机构：

[1] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 216卷 / 01期

基金：

中国国家自然科学基金;

关键词：

shunting inhibitory cellular neural networks; exponential convergence; delays; time-varying coefficients;

D O I：

10.1016/j.cam.2007.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the convergence behavior of delayed shunting inhibitory cellular neural networks with time-varying coefficients are considered. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to the zero point, which are new and complement previously known results. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：164 / 169

页数：6

共 9 条

[1] SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS - DERIVATION AND STABILITY ANALYSIS
BOUZERDOUM, A
PINTER, RB
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (03): : 215 - 221
[2] BOUZERDOUM A, 1999, SPIE, V1473, P29
[3] Bouzerdoum A., 1992, NONLINEAR VISION, P423
[4] Global exponential stability of periodic solution for shunting inhibitory CNNs with delays
Li, YK
Liu, CC
Zhu, LF
[J]. PHYSICS LETTERS A, 2005, 337 (1-2) : 46 - 54
[5] Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
Liu, BW
Huang, LH
[J]. PHYSICS LETTERS A, 2006, 349 (1-4) : 177 - 186
[6] Almost periodic solution of shunting inhibitory cellular neural networks with time varying and continuously distributed delays
Liu, Yiguang
You, Zhisheng
Cao, Liping
[J]. PHYSICS LETTERS A, 2007, 364 (01) : 17 - 28
[7] On the almost periodic solution of generalized shunting inhibitory cellular neural networks with continuously distributed delays
Liu, Yiguang
You, Zhisheng
Cao, Liping
[J]. PHYSICS LETTERS A, 2006, 360 (01) : 122 - 130
[8] Global exponential stability of almost periodic solution for a large class of delayed dynamical systems
Lu, WL
Chen, TP
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (08): : 1015 - 1026
[9] Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
Zhou, Qiyuan
Xiao, Bing
Yu, Yuehua
Peng, Lequn
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (03) : 860 - 866

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