Novel global robust exponential stability criterion for uncertain BAM neural networks with time-varying delays

被引：19

作者：

Sheng, Li ^{[1
]}

Yang, Huizhong ^{[1
]}

机构：

[1] Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Jiangsu, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 05期

基金：

中国国家自然科学基金;

关键词：

ASSOCIATIVE MEMORY NETWORKS; LMI-BASED CRITERIA; ASYMPTOTIC STABILITY; DISCRETE; SYSTEMS; IMPULSES;

D O I：

10.1016/j.chaos.2007.09.098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the global robust exponential stability for a class of delayed BAM neural networks with norm-bounded uncertainty is studied. Some less conservative conditions are presented for the global exponential stability of BAM neural networks with time-varying delays by constructing a new class of Lyapunov functionals combined with free-weighting matrices, This novel approach, based oil the linear matrix inequality (LMI) technique, removes some existing restrictions on the system's parameters, and the derived conditions are easy to verify via the LMI toolbox. Comparisons between our results and previous results admit that our results establish a new set of stability criteria for delayed BAM neural networks. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2102 / 2113

页数：12

共 50 条

[41] A new result on global exponential robust stability of neural networks with time-varying delays
Shao J.
Huang T.
Journal of Control Theory and Applications, 2009, 7 (3): : 315 - 320
[42] An improved result on global robust exponential stability of neural networks with time-varying delays
Shao, Jinliang
Huang, Tingzhu
Journal of Computational Information Systems, 2012, 8 (23): : 9603 - 9610
[43] Exponential passivity of BAM neural networks with time-varying delays
Du, Yuanhua
Zhong, Shouming
Zhou, Nan
Nie, Lei
Wang, Wenqin
APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 727 - 740
[44] Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays
Li, Hongyi
Chen, Bing
Zhou, Qi
Fang, Shengle
PHYSICS LETTERS A, 2008, 372 (19) : 3385 - 3394
[45] Robust exponential stability of uncertain impulsive neural networks with time-varying delays and delayed impulses
Zhang, Yu
NEUROCOMPUTING, 2011, 74 (17) : 3268 - 3276
[46] Global exponential stability of impulsive high-order BAM neural networks with time-varying delays
Ho, Daniel W. C.
Liang, Jinling
Lam, James
NEURAL NETWORKS, 2006, 19 (10) : 1581 - 1590
[47] Impulsive effect on global exponential stability of BAM fuzzy cellular neural networks with time-varying delays
Li, Kelin
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (02) : 131 - 142
[48] An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays
Song, Qiankun
Wang, Zidong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (04) : 1224 - 1234
[49] Global exponential stability of a class of BAM networks with time-varying delays and continuously distributed delays
Wang, Baoxian
Jian, Jigui
Guo, Chuande
NEUROCOMPUTING, 2008, 71 (4-6) : 495 - 501
[50] A new criterion on the global exponential stability for cellular neural networks with multiple time-varying delays
Jiang, HJ
Teng, ZD
PHYSICS LETTERS A, 2005, 338 (06) : 461 - 471

← 1 2 3 4 5 →