Delay-independent stability analysis of Cohen-Grossberg neural networks

被引：251

作者：

Chen, TP ^{[1
]}

Rong, LB ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Lab Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

PHYSICS LETTERS A | 2003年 / 317卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

neural networks; time delay; stability; linear matrix equality; Cohen-Grossberg; Lyapunov functional;

D O I：

10.1016/j.physleta.2003.08.066

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, we discuss a class of Cohen-Grossberg neural networks with time delays and investigate their global asymptotic stability of the equilibrium point for this systems. By introducing a new type of Lyapunov functionals, a set of sufficient conditions guaranteeing the global asymptotic convergence are derived. Our criteria represent an extension of the existing results in literatures. Combined with the linear matrix inequality technique, a new generalized, LMI based, criterion is obtained. The presented result: is more easily to verified and turns out to be less restrictive than those given in the earlier literature. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：436 / 449

页数：14

共 29 条

[1] On the global asymptotic stability of delayed cellular neural networks [J].

Arik, S ;

Tavsanoglu, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :571-574

[2] An analysis of global asymptotic stability of delayed cellular neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05) :1239-1242

[3]

Belair J., 1993, Journal of Dynamics and Differential Equations, V5, P607, DOI 10.1007/BF01049141

[4]

Boyd S., 1994, SIAM STUDIES APPL MA

[5] On exponential stability and periodic solutions of CNNs with delays [J].

Cao, J .

PHYSICS LETTERS A, 2000, 267 (5-6) :312-318

[6]

CHEN T, IN PRESS ROBUST GLOB

[7] Stability of asymmetric Hopfield networks [J].

Chen, TP ;

Amari, SI .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (01) :159-163

[8] Convergence of delayed dynamical systems [J].

Chen, TP .

NEURAL PROCESSING LETTERS, 1999, 10 (03) :267-271

[9] ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].

COHEN, MA ;

GROSSBERG, S .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826

[10] On the stability analysis of delayed neural networks systems [J].

Feng, CH ;

Plamondon, R .

NEURAL NETWORKS, 2001, 14 (09) :1181-1188

← 1 2 3 →