Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays

被引：40

作者：

Ali, M. Syed ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Gandhigram Rural Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 31期

关键词：

global asymptotic stability; linear matrix inequality; Lyapunov functional; stochastic fuzzy BAM neural networks; time-varying delays;

D O I：

10.1016/j.physleta.2008.05.067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, by utilizing the Lyapunov functional and combining with the linear matrix inequality (LMI) approach, we analyze the global asymptotic stability of uncertain stochastic fuzzy Bidirectional Associative Memory (BAM) neural networks with time-varying delays which are represented by the Takagi-Sugeno (TS) fuzzy models. A new class of uncertain stochastic fuzzy BAM neural networks with time varying delays has been studied and sufficient conditions have been derived to obtain conservative result in stochastic settings. The developed results are more general than those reported in the earlier literatures. In addition, the numerical examples are provided to illustrate the applicability of the result using LMI toolbox in MATLAB. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：5159 / 5166

页数：8

共 34 条

[1]

[Anonymous], 1994, LINEAR MATRIX INEQUA

[2] Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses [J].

Bai, Chuanzhi .

CHAOS SOLITONS & FRACTALS, 2008, 35 (02) :263-267

[3] Stability of stochastic delay neural networks [J].

Blythe, S ;

Mao, XR ;

Liao, XX .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (04) :481-495

[4] Periodic oscillatory solution of bidirectional associative memory networks with delays [J].

Cao, J ;

Wang, L .

PHYSICAL REVIEW E, 2000, 61 (02) :1825-1828

[5] Exponential stability of delayed bi-directional associative memory networks [J].

Cao, J ;

Dong, MF .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :105-112

[6] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].

Cao, J ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44

[7] Global asymptotic stability of delayed bi-directional associative memory neural networks [J].

Cao, JD .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (2-3) :333-339

[8] Exponential stability and periodic oscillatory solution in BAM networks with delays [J].

Cao, JD ;

Wang, L .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463

[9] Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models [J].

Cao, YY ;

Frank, PM .

FUZZY SETS AND SYSTEMS, 2001, 124 (02) :213-229

[10] Exponential stability of BAM neural networks with transmission delays [J].

Chen, AP ;

Cao, J ;

Huang, LH .

NEUROCOMPUTING, 2004, 57 :435-454

← 1 2 3 4 →