On exponential stability of delayed neural networks with a general class of activation functions

被引：66

作者：

Sun, CY ^{[1
]}

Zhang, KJ ^{[1
]}

Fei, SM ^{[1
]}

Feng, CB ^{[1
]}

机构：

[1] Southeast Univ, Res Inst Automat, Nanjing 210096, Peoples R China

来源：

PHYSICS LETTERS A | 2002年 / 298卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

global exponential stability; neural networks; M-matrix; activation functions;

D O I：

10.1016/S0375-9601(02)00471-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, based on globally Lipschitz continuous activation functions, new conditions ensuring existence, uniqueness and global exponential stability of the equilibrium point of delayed neural networks are obtained. The delayed Hopfield network and bidirectional associative memory network are special cases of the network model considered in this Letter. So this work gives some improvements to the previous ones. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：122 / 132

页数：11

共 50 条

[1] Absolute exponential stability of neural networks with a general class of activation functions
Liang, XB
Wang, J
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (08): : 1258 - 1263
[2] Global exponential convergence for delayed cellular neural networks with a class of general activation functions
Shao, Jianying
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1816 - 1821
[3] Global robust stability of delayed neural networks with a class of general activation functions
Huang, H
Cao, JD
Qu, YZ
[J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2004, 69 (04) : 688 - 700
[4] Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions
Wan, AH
Wang, MS
Peng, J
Qiao, H
[J]. PHYSICS LETTERS A, 2006, 350 (1-2) : 96 - 102
[5] Global exponential stability for recurrent neural networks with a general class of activation functions and variable delays
Zhou, DM
Zhang, LM
Zhao, DF
[J]. PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 108 - 111
[6] On exponential stability of delayed neural networks with globally Lipschitz continuous activation functions
Sun, CY
Feng, CB
[J]. PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 1953 - 1957
[7] Coexistence and Local Exponential Stability of Multiple Equilibria in Memristive Neural Networks with a Class of General Nonmonotonic Activation Functions
Huang, Yujiao
Chen, Shijun
Xiao, Jie
Hao, Pengyi
[J]. ADVANCES IN NEURAL NETWORKS, PT I, 2017, 10261 : 354 - 362
[8] Exponential stability of delayed Hopfield neural networks with various activation functions and polytopic uncertainties
Phat, Vu N.
Nam, Phan T.
[J]. PHYSICS LETTERS A, 2010, 374 (25) : 2527 - 2533
[9] Stability Analysis for a Class of Delayed Neural Networks with Nonlinear Homogeneous Activation Functions
Wang, Man
Chen, Boshan
[J]. 2015 SIXTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP), 2015, : 30 - 35
[10] Exponential Stability on a Class of Delayed Neural Networks of Neutral Type
Li Qiaoping
Li Wenlin
[J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2402 - 2406

← 1 2 3 4 5 →