BAM-type Cohen-Grossberg neural networks with time delays

被引：54

作者：

Jiang, Haijun ^{[1
]}

Cao, Jinde ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] SE Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 47卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

bidirectional associative memory Cohen-Grossberg neural networks; Lyapunov function; time delay; global asymptotical stability; equilibrium point;

D O I：

10.1016/j.mcm.2007.02.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we investigate bidirectional associative memory Cohen-Grossberg neural networks with time delays. By applying the Young inequality technique, Dim derivative, and introducing many real parameters, a series of new and useful criteria on the existence and uniqueness of an equilibrium point and its global asymptotical stability are established. It is shown that in some special cases of the results, the stability criteria can be easily checked. Finally, an example is given to illustrate the result obtained in this paper. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：92 / 103

页数：12

共 30 条

[1] Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays [J].

Arik, S .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (03) :580-586

[2] 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

[3] Boundedness and stability for Cohen-Grossberg neural network with time-varying delays [J].

Cao, J ;

Liang, JL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) :665-685

[4] 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

[5] Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach [J].

Cao, JD ;

Li, XL .

PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :54-65

[6] New results concerning exponential stability and periodic solutions of delayed cellular neural networks [J].

Cao, JD .

PHYSICS LETTERS A, 2003, 307 (2-3) :136-147

[7] Delay-independent stability analysis of Cohen-Grossberg neural networks [J].

Chen, TP ;

Rong, LB .

PHYSICS LETTERS A, 2003, 317 (5-6) :436-449

[8] CELLULAR NEURAL NETWORKS - APPLICATIONS [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290

[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] Neural network models and its application for solving linear and quadratic programming problems [J].

Effati, S ;

Nazemi, AR .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :305-331

← 1 2 3 →