Stability of Cohen-Grossberg neural networks with nonnegative periodic solutions

被引：1
作者：
Chen, Tianping
Bai, Yanchun
机构：
来源：
2007 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-6 | 2007年
关键词：
GLOBAL EXPONENTIAL STABILITY; DISTRIBUTED DELAYS; EXISTENCE;
D O I：
10.1109/IJCNN.2007.4370962
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we discuss nonnegative periodic solutions for generalized Cohen-Grossberg neural networks. Without assuming strict positivity and boundedness of the amplification functions, the dynamics of periodic Cohen-Grossberg neural networks are studied. By applying a direct method, sufficient conditions guaranteeing the existence and global asymptotic stability of nonnegative periodic solution are derived. Also the criterion does not depend on the assumption for amplification functions being upper and low bounded or the external inputs.
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收藏
页码：242 / 247
页数：6
相关论文
共 13 条
[1]  
Berman A., 1979, Classics in Applied Mathematics
[2]   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
[3]   NONLINEAR NEURAL NETWORKS - PRINCIPLES, MECHANISMS, AND ARCHITECTURES [J].
GROSSBERG, S .
NEURAL NETWORKS, 1988, 1 (01) :17-61
[4]  
HUANG CX, NONLINEAR ANAL REA W
[5]  
HUANG CX, NONLINEAR ANAL EREAL
[6]   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
[7]   Positive periodic solutions of delayed periodic Lotka-Volterra systems [J].
Lin, W ;
Chen, TP .
PHYSICS LETTERS A, 2005, 334 (04) :273-287
[8]  
LIN W, IN PRESS DYNAMICS CO
[9]  
LIU BW, CHAOS SOLITONS FRACT
[10]   On periodic dynamical systems [J].
Lu, WL ;
Chen, TP .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2004, 25 (04) :455-462
12