Exponential stability of fuzzy cellular neural networks with constant and time-varying delays

被引：130
|
作者：
Liu, YQ [1 ]
Tang, WS
机构：
[1] Tianjin Univ, Inst Syst Engn, Tianjin 300072, Peoples R China
[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
PHYSICS LETTERS A | 2004年 / 323卷 / 3-4期
关键词：
fuzzy cellular neural networks; fuzzy logic; constant delay; time-varying delay; equilibrium point; Lyapunov functionals;
D O I：
10.1016/j.physleta.2004.01.064
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, the global stability of delayed fuzzy cellular neural networks (FCNN) with either constant delays or time varying delays is proposed. Firstly, we give the existence and uniqueness of the equilibrium point by using the theory of topological degree and the properties of nonsingular M-matrix and the sufficient conditions for ascertaining the global exponential stability by constructing a suitable Lyapunov functional. Secondly, the criteria for guaranteeing the global exponential stability of FCNN with time varying delays are given and the estimation of exponential convergence rate with regard to speed of vary of delays is presented by constructing a suitable Lyapunov functional. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：224 / 233
页数：10
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