Existence and stability of almost periodic solution for BAM neural networks with delays

被引:132
作者
Chen, AP
Huang, LH
Cao, JD [1 ]
机构
[1] SE Univ, Dept Appl Math, Nanjing 210096, Peoples R China
[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R China
[3] Chenzhou Teachers Coll, Dept Math, Chenzhou 423000, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
almost periodic solution; global stability; BAM neural networks;
D O I
10.1016/S0096-3003(02)00095-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using the Banach fixed point theorem and constructing suitable Lyapunov function, some sufficient conditions are obtained ensuring existence, uniqueness and global stability of almost periodic solution of the BAM neural networks with variable coefficients and delays. These results are helpful to design global exponential stable BAM networks and almost periodic oscillatory BAM networks. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:177 / 193
页数:17
相关论文
共 23 条
[1]  
[Anonymous], 1988, Self-Organization and Associative Memory
[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, 2002, IEEE T NEURAL NETWOR, V13
[5]   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
[6]   Global stability analysis in delayed cellular neural networks [J].
Cao, JD .
PHYSICAL REVIEW E, 1999, 59 (05) :5940-5944
[7]   On stability of delayed cellular neural networks [J].
Cao, JD .
PHYSICS LETTERS A, 1999, 261 (5-6) :303-308
[8]   Global exponential stability of Hopfield neural networks [J].
Cao, JD .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (02) :233-236
[9]   Exponential stability and periodic solutions of delayed cellular neural networks [J].
Cao, JD .
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2000, 43 (03) :328-336
[10]   Periodic oscillation and exponential stability of delayed CNNs [J].
Cao, JD .
PHYSICS LETTERS A, 2000, 270 (3-4) :157-163