Global exponential convergence for delayed cellular neural networks with a class of general activation functions

被引：4

作者：

Shao, Jianying ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 03期

关键词：

Cellular neural networks; Exponential convergence; Delays; General activation functions; STABILITY; CRITERIA;

D O I：

10.1016/j.nonrwa.2008.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider delayed cellular neural networks with a class of general activation functions. By using some mathematical analysis techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1816 / 1821

页数：6

共 50 条

[1] On exponential stability of delayed neural networks with a general class of activation functions
Sun, CY
Zhang, KJ
Fei, SM
Feng, CB
PHYSICS LETTERS A, 2002, 298 (2-3) : 122 - 132
[2] Global exponential convergence analysis of delayed cellular neural networks
Zhang, Q
Ma, RN
Wang, C
Xu, J
CHINESE PHYSICS, 2003, 12 (01): : 22 - 24
[3] Global robust stability of delayed neural networks with a class of general activation functions
Huang, H
Cao, JD
Qu, YZ
JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2004, 69 (04) : 688 - 700
[4] Global exponential stability for delayed cellular neural networks and estimate of exponential convergence rate
Zhang Qiang
Advanced Design Technology Center
School of Management
JournalofSystemsEngineeringandElectronics, 2004, (03) : 344 - 349
[5] Exponential convergence for high-order recurrent neural networks with a class of general activation functions
Zhang, Hong
Wang, Wentao
Xiao, Bing
APPLIED MATHEMATICAL MODELLING, 2011, 35 (01) : 123 - 129
[6] Exponential stability of delayed cellular neural networks with general output functions
Huang, Li-Hong
Hu, Sui-Hua
Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 2007, 34 (01): : 85 - 88
[7] Global exponential stability for recurrent neural networks with a general class of activation functions and variable delays
Zhou, DM
Zhang, LM
Zhao, DF
PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 108 - 111
[8] Absolute exponential stability of neural networks with a general class of activation functions
Liang, XB
Wang, J
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (08): : 1258 - 1263
[9] Exponential convergence for a class of delayed cellular neural networks with time-varying coefficients
Liu, Bingwen
PHYSICS LETTERS A, 2008, 372 (04) : 424 - 428
[10] On global exponential stability of delayed cellular neural networks
Singh, Vimal
CHAOS SOLITONS & FRACTALS, 2007, 33 (01) : 188 - 193

← 1 2 3 4 5 →