Exponential Stability of Almost Periodic Solution for Shunting Inhibitory Cellular Neural Networks with Time-Varying and Distributed Delays

被引：0

作者：

Wu, Ailong ^{[1
]}

Fu, Chaojin ^{[1
]}

机构：

[1] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2009年 / 2卷 / 03期

关键词：

Almost periodic; Shunting inhibitory cellular neural networks; Exponential stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, shunting inhibitory cellular neural networks (SICNNs) with timevarying and distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, some new sufficient conditions for the existence and exponential stability of the almost periodic solutions are established. Finally, a numerical example is given to demonstrate the effectiveness of the obtained result.

引用

页码：448 / 461

页数：14

共 12 条

[1] Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
Cai, Mingshan
Zhang, Hong
Yuan, Zhaohui
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 78 (04) : 548 - 558
[2] Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients
Chen, Ling
Zhao, Hongyong
[J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (02) : 351 - 357
[3] Existence of almost periodic solutions for SICNNs with time-varying delays
Ding, Hui-Sheng
Liang, Jin
Xiao, Ti-Jun
[J]. PHYSICS LETTERS A, 2008, 372 (33) : 5411 - 5416
[4] Fink A.M, 1974, LECT NOTES MATH
[5] Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activation functions
Liu, Bingwen
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 203 (01) : 159 - 168
[6] Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
Liu, Bingwen
Huang, Lihong
[J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (01) : 211 - 217
[7] 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
[8] 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
[9] Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions
Shao, Jianying
Wang, Lijuan
Ou, Chunxia
[J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (06) : 2575 - 2581
[10] Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses
Xia, Yonghui
Cao, Jinde
Huang, Zhenkun
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1599 - 1607

← 1 2 →