Global asymptotic stability of hybrid bidirectional associative memory neural networks with time delays

被引：37
作者：
Arik, S [1 ]
机构：
[1] Istanbul Univ, Dept Comp Engn, TR-34320 Istanbul, Turkey
来源：
PHYSICS LETTERS A | 2006年 / 351卷 / 1-2期
关键词：
D O I：
10.1016/j.physleta.2005.10.059
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter presents a sufficient condition for the existence, uniqueness and global asymptotic stability of the equilibrium point for bidirectional associative memory (BAM) neural networks with distributed time delays. The results impose constraint conditions on the network parameters of neural system independently of the delay parameter, and they are applicable to all bounded continuous non-monotonic neuron activation functions. The results are also compared with the previous results derived in the literature. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：85 / 91
页数：7
相关论文
共 30 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]   Global asymptotic stability of a class of dynamical neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :568-571
[3]   Equilibrium analysis of delayed CNN's [J].
Arik, S ;
Tavsanoglu, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (02) :168-171
[4]   Exponential stability of delayed bi-directional associative memory networks [J].
Cao, J ;
Dong, MF .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :105-112
[5]   Global asymptotic stability of delayed bi-directional associative memory neural networks [J].
Cao, JD .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (2-3) :333-339
[6]   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
[7]   Exponential stability of BAM neural networks with transmission delays [J].
Chen, AP ;
Cao, J ;
Huang, LH .
NEUROCOMPUTING, 2004, 57 :435-454
[8]   Global exponential stability and periodic solutions of cellular neural networks with delay [J].
Fang, H ;
Li, JB .
PHYSICAL REVIEW E, 2000, 61 (04) :4212-4217
[9]   NEW CONDITIONS FOR GLOBAL STABILITY OF NEURAL NETWORKS WITH APPLICATION TO LINEAR AND QUADRATIC-PROGRAMMING PROBLEMS [J].
FORTI, M ;
TESI, A .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (07) :354-366
[10]   Global exponential stability of continuous-time interval neural networks [J].
Hu, SQ ;
Wang, J .
PHYSICAL REVIEW E, 2002, 65 (03)
123