Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach

被引：77

作者：

Li, CD ^{[1
]}

Liao, XF

Zhang, RN

机构：

[1] Chongqing Univ, Dept Comp Sci & Engn, Chongqing 400030, Peoples R China

[2] Chongqing Univ, Coll Business Adm, Chongqing 400030, Peoples R China

来源：

PHYSICS LETTERS A | 2004年 / 328卷 / 06期

基金：

中国国家自然科学基金;

关键词：

robust stability; interval delayed neural networks (IDNN); Lyapunov functional; linear matrix inequality (LMI); multiple time-varying delays;

D O I：

10.1016/j.physleta.2004.06.053

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique, some delay-dependent criteria for interval neural networks (IDNN) with multiple time-varying delays are derived to guarantee global robust asymptotic stability. The main results are generalizations of some recent results reported in the literature. Numerical example is also given to show the effectiveness of our results. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：452 / 462

页数：11

共 50 条

[1] An LMI approach to asymptotical stability of multi-delayed neural networks
Liao, XF
Li, CD
PHYSICA D-NONLINEAR PHENOMENA, 2005, 200 (1-2) : 139 - 155
[2] Global robust stability criteria for interval delayed neural networks via an LMI approach
Li, Chuandong
Liao, Xiaofeng
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (09) : 901 - 905
[3] Global robust stability of delayed neural networks: An LMI approach
Singh, V
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (01): : 33 - 36
[4] Asymptotical stability of multi-delayed cellular neural networks with impulsive effects
Li, Dong
Yang, Dan
Wang, Hui
Zhang, Xiaohong
Wang, Shilong
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (2-3) : 218 - 224
[5] Global robust exponential stability of delayed neural networks: An LMI approach
Ou, Ou
CHAOS SOLITONS & FRACTALS, 2007, 32 (05) : 1742 - 1748
[6] A Note on "Global Robust Stability. Criteria for Interval Delayed Neural Networks Via an LMI Approach"
Shao, Jin-Liang
Huang, Ting-Zhu
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (11) : 1198 - 1202
[7] Global robust stability of interval delayed neural networks: Modified approach
Singh, Vimal
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2009, 37 (09) : 995 - 1007
[8] Global robust stability of interval delayed neural networks
Singh, V.
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (06): : 741 - 749
[9] A New Criterion for Global Asymptotic Stability of Multi-delayed Neural Networks
Liu, Kaiyu
Zhang, Hongqiang
ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, PROCEEDINGS, 2009, 5855 : 350 - +
[10] Novel LMI condition for global robust stability of delayed neural networks
Singh, Vimal
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 503 - 508

← 1 2 3 4 5 →