Delay-dependent exponential stability for a class of neural networks with time delays

被引:182
作者
Xu, SY [1 ]
Lam, J
Ho, DWC
Zou, Y
机构
[1] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
delay-dependent conditions; global exponential stability; linear matrix inequality; neural networks; neutral systems; time-delay systems;
D O I
10.1016/j.cam.2004.12.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the exponential stability of a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. In terms of a linear matrix inequality (LMI), a sufficient condition guaranteeing the existence, uniqueness and global exponential stability of an equilibrium point of such a kind of delayed neural networks is proposed. This condition is dependent on the size of the time delay, which is usually less conservative than delay-independent ones. The proposed LMI condition can be checked easily by recently developed algorithms solving LMIs. Examples are provided to demonstrate the effectiveness and applicability of the proposed criteria. (c) 2005 Elsevier B.V All rights reserved.
引用
收藏
页码:16 / 28
页数:13
相关论文
共 20 条
[1]   An analysis of exponential stability of delayed neural networks with time varying delays [J].
Arik, S .
NEURAL NETWORKS, 2004, 17 (07) :1027-1031
[2]   Global asymptotic stability of a larger class of neural networks with constant time delay [J].
Arik, S .
PHYSICS LETTERS A, 2003, 311 (06) :504-511
[3]   An analog scheme for fixed point computation .1. Theory [J].
Borkar, VS ;
Soumyanath, K .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (04) :351-355
[4]  
Boyd S., 1994, SIAM STUDIES APPL MA
[5]   Stability analysis of delayed cellular neural networks [J].
Cao, JD ;
Zhou, DM .
NEURAL NETWORKS, 1998, 11 (09) :1601-1605
[6]   On the exponential stability and periodic solutions of delayed cellular neural networks [J].
Cao, JD ;
Li, Q .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (01) :50-64
[7]   An exponential convergence estimate for analog neural networks with delay [J].
Chu, TG .
PHYSICS LETTERS A, 2001, 283 (1-2) :113-118
[8]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[9]  
Cichocki A., 1993, Neural Networks for Optimization and Signal Processing
[10]   CONVERGENT ACTIVATION DYNAMICS IN CONTINUOUS-TIME NETWORKS [J].
HIRSCH, MW .
NEURAL NETWORKS, 1989, 2 (05) :331-349