Exponential stability of delayed bi-directional associative memory networks

被引：135

作者：

Cao, J ^{[1
]}

Dong, MF ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 135卷 / 01期

关键词：

neural network; delay; bi-directional associative memory (BAM); global exponential stability; inequality; Lyapunov functional; neural circuits;

D O I：

10.1016/S0096-3003(01)00315-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some sufficient conditions are derived for the global exponential stability in delayed bi-directional associative memory (BAM) networks by constructing suitable Lyapunov functional and the inequality 2ab less than or equal to a(2) + b(2) technique. These conditions have an important leading significance in the design and applications of globally exponentially stable neural circuits for delayed BAM. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：105 / 112

页数：8

共 31 条

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

Cao, J .

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

[2] A set of stability criteria for delayed cellular neural networks [J].

Cao, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498

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

Cao, J ;

Wang, L .

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

[4]

CAO J, 1998, P 4 INT C SIGN PROC, P1291

[5]

CAO J, 2001, IEEE T CIRCUITS SYST, V48, P1267

[6]

CAO J, IN PRESS IEEE T NEUR

[7]

Cao JD, 1998, APPL MATH MECH-ENGL, V19, P457

[8] Global stability conditions for delayed CNNs [J].

Cao, J. .

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333

[9] Stability analysis of delayed cellular neural networks [J].

Cao, JD ;

Zhou, DM .

NEURAL NETWORKS, 1998, 11 (09) :1601-1605

[10] Global stability analysis in delayed cellular neural networks [J].

Cao, JD .

PHYSICAL REVIEW E, 1999, 59 (05) :5940-5944

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