Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays

被引：45
作者：
Xiang, Hongjun [1 ,2 ]
Cao, Jinde [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China
来源：
NEUROCOMPUTING | 2009年 / 72卷 / 7-9期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Cohen-Grossberg-type; BAM neural networks; Periodic solution; Invariant set; Exponential stability; Storage patterns; Memory patterns; BIDIRECTIONAL ASSOCIATIVE MEMORY; GLOBAL ASYMPTOTIC STABILITY; NEURAL-NETWORKS; INDEPENDENT STABILITY; QUALITATIVE-ANALYSIS; ROBUST STABILITY; EXISTENCE;
D O I：
10.1016/j.neucom.2008.07.006
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Periodic solutions can represent various Storage patterns or memory patterns in some applications. In this paper, the existence and global exponential stability of periodic solution are discussed for the Cohen-Grossberg-type bidirectional associative memory (BAM) neural networks with time-varying delays. By applying the analysis method and inequality technique, some novel sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and exponential stability of the periodic solution to the considered system. Moreover, two examples are also given to demonstrate the feasibility of the obtained results. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1702 / 1711
页数：10
相关论文
共 40 条
[1]  
[Anonymous], 1985, Matrix Analysis
[2]   Global asymptotic stability of hybrid bidirectional associative memory neural networks with time delays [J].
Arik, S .
PHYSICS LETTERS A, 2006, 351 (1-2) :85-91
[3]   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
[4]   Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays [J].
Arik, S ;
Tavsanoglu, V .
NEUROCOMPUTING, 2005, 68 :161-176
[5]   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
[6]   Exponential stability of delayed bi-directional associative memory networks [J].
Cao, J ;
Dong, MF .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :105-112
[7]   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
[8]   An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays [J].
Cao, JD ;
Jiang, QH .
PHYSICS LETTERS A, 2004, 330 (3-4) :203-213
[9]   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
[10]   Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays [J].
Cao, Jinde ;
Song, Qiankun .
NONLINEARITY, 2006, 19 (07) :1601-1617
1234