Globally exponential stability conditions for cellular neural networks with time-varying delays

被引:119
作者
Zhou, DM [1 ]
Cao, JD [1 ]
机构
[1] Yunnan Univ, Information Coll, Kunming 650091, Peoples R China
关键词
cellular neural network; time-varying delay; Lyapunov function; global exponential stability;
D O I
10.1016/S0096-3003(01)00162-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the problems of global exponential stability for cellular neural networks (CNN) with time-varying delays are studied. Several sufficient conditions guaranteeing the network's global exponential stability are established. These results can easily be used to design and verify globally stable networks. Furthermore, the results presented here are independent of the form of specific delays and have important significance in both theory and applications. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:487 / 496
页数:10
相关论文
共 28 条
[11]   Exponential stability and periodic solutions of delayed cellular neural networks [J].
Cao, JD .
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2000, 43 (03) :328-336
[12]   Global exponential stability and periodic solutions of delayed cellular neural networks [J].
Cao, JD .
JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2000, 60 (01) :38-46
[13]   Periodic oscillation and exponential stability of delayed CNNs [J].
Cao, JD .
PHYSICS LETTERS A, 2000, 270 (3-4) :157-163
[14]  
CAO JD, 1999, J BIOMATH, V14, P65
[15]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[16]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[17]  
CHUA LO, 1990, P CNNA, V90, P12
[18]   ON STABILITY OF CELLULAR NEURAL NETWORKS WITH DELAY [J].
CIVALLERI, PP ;
GILLI, M ;
PANDOLFI, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (03) :157-165
[19]   STABILITY OF CELLULAR NEURAL NETWORKS AND DELAYED CELLULAR NEURAL NETWORKS WITH NONPOSITIVE TEMPLATES AND NONMONOTONIC OUTPUT FUNCTIONS [J].
GILLI, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1994, 41 (08) :518-528
[20]  
Liao Xiao-Xin, 2000, Acta Electronica Sinica, V28, P87