Global dynamic analysis of general Cohen-Grossberg neural networks with impulse

被引:47
作者
Chen, Zhang
Ruan, Jiong [1 ]
机构
[1] Fudan Univ, Res Ctr, Shanghai 200433, Peoples R China
[2] Fudan Univ, Lab Math Nonlinear Sci, Sch Math Sci, Shanghai 200433, Peoples R China
关键词
D O I
10.1016/j.chaos.2005.12.018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a class of general Cohen-Grossberg neural networks with impulse is studied. Based on the method of Lyapunov functional, sufficient conditions on global exponential stability are given. Furthermore, many corollaries are obtained. Our results improve some of the earlier findings, and are suitable for many applications. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1830 / 1837
页数:8
相关论文
共 22 条
[1]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[2]   Global stability analysis of impulsive Cohen-Grossberg neural networks with delay [J].
Chen, Z ;
Ruan, J .
PHYSICS LETTERS A, 2005, 345 (1-3) :101-111
[3]   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
[4]   General comparison principle for impulsive variable time differential equations with application [J].
Fu, XL ;
Qi, JG ;
Liu, YS .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) :1421-1429
[5]   Oscillation criteria for impulsive parabolic differential equations with delay [J].
Fu, XL ;
Liu, XZ ;
Sivaloganathan, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (02) :647-664
[6]   On impulsive autoassociative neural networks [J].
Guan, ZH ;
Lam, J ;
Chen, GR .
NEURAL NETWORKS, 2000, 13 (01) :63-69
[7]   On delayed impulsive Hopfield neural networks [J].
Guan, ZH ;
Chen, GR .
NEURAL NETWORKS, 1999, 12 (02) :273-280
[8]  
HAYDAR A, 2004, J MATH ANAL APPL, V290, P436
[9]   The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive [J].
Jin, Z ;
Zhien, M ;
Maoan, H .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :181-188
[10]  
LAKSHIIKANTHAM V, 1989, THEORY IMPULSIVE DIF