Anti-periodic solutions for a class of Cohen-Grossberg neural networks

被引:35
作者
Gong, Shuhua [1 ]
机构
[1] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China
关键词
Cohen-Grossberg neural networks; Anti-periodic; Exponential stability; Delays; EXPONENTIAL STABILITY; DELAYS; EQUATIONS; CRITERIA;
D O I
10.1016/j.camwa.2009.03.105
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, Cohen-Grossberg neural networks (CGNNs) with delays are considered. Some new sufficient conditions for the existence and exponential stability of anti-periodic solutions are established. (c) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:341 / 347
页数:7
相关论文
共 17 条
[1]   ON A CLASS OF 2ND-ORDER ANTIPERIODIC BOUNDARY-VALUE-PROBLEMS [J].
AFTABIZADEH, AR ;
AIZICOVICI, S ;
PAVEL, NH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (02) :301-320
[2]   Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities [J].
Aizicovici, S ;
McKibben, M ;
Reich, S .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (02) :233-251
[3]   Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses [J].
Bai, Chuanzhi .
CHAOS SOLITONS & FRACTALS, 2008, 35 (02) :263-267
[4]  
Chen HL, 1996, J COMPUT MATH, V14, P32
[5]   Anti-periodic solutions for fully nonlinear first-order differential equations [J].
Chen, Yuqing ;
Nieto, Juan J. ;
O'Regan, Donal .
MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (9-10) :1183-1190
[6]   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
[7]  
Hale J.K., 1977, THEORY FUNCTIONAL DI
[8]   Global attractivity in delayed Cohen-Grossberg neural network models [J].
Li, Chun-Hsien ;
Yang, Suh-Yuh .
CHAOS SOLITONS & FRACTALS, 2009, 39 (04) :1975-1987
[9]   Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays [J].
Li, YK .
CHAOS SOLITONS & FRACTALS, 2004, 20 (03) :459-466
[10]   Criteria for exponential stability of Cohen-Grossberg neural networks [J].
Liao, XF ;
Li, CG ;
Wong, KW .
NEURAL NETWORKS, 2004, 17 (10) :1401-1414