Stability of Cohen-Grossberg Neural Networks with Unbounded Time-Varying Delays

被引:0
作者
Liu, Bo [1 ]
Lu, Wenlian [1 ]
机构
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源
ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I | 2011年 / 6675卷
关键词
stability; Cohen-Grossberg neural networks; time-varying delays; GLOBAL EXPONENTIAL STABILITY;
D O I
暂无
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 consider the stability of Cohen-Grossberg neural networks with unbounded time-varying delays. Under less restrictive conditions those proposed in existing literature, we prove the asymptotic stability of the generalized Cohen-Grossberg neural networks. For the first time, we deal with the case where the unbounded time-varying delay tau(t) which is not necessarily continuous in time t. And for the amplification function, we only need it to be positive and continuous, a uniform positive lower and upper bounds are not necessary.
引用
收藏
页码:280 / 286
页数:7
相关论文
共 16 条
[1]  
[Anonymous], 1996, DIFFERENTIAL EQUATIO
[2]  
[Anonymous], 1985, Matrix Analysis
[3]   Global stability analysis of Cohen-Grossberg neural networks with time varying delays [J].
Arik, S ;
Orman, Z .
PHYSICS LETTERS A, 2005, 341 (5-6) :410-421
[4]  
Baker C. T. H., 1996, VOLT CENT M, P39
[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]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[7]   Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].
Chen, TP ;
Rong, LB .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206
[8]   Global exponential stability of delayed Hopfield neural networks [J].
Chen, TP .
NEURAL NETWORKS, 2001, 14 (08) :977-980
[9]   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
[10]   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