Global asymptotic stability of fuzzy cellular neural networks with time-varying delays

被引：73
|
作者：
Zhang, Qianhong [1 ,2 ]
Xiang, Riguang [3 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
[2] Hunan Inst Technol, Dept Basic Sci, Hengyang 421002, Hunan, Peoples R China
[3] Changsha Univ Sci & Technol, Sch Informat Sci & Comp Technol, Changsha 410000, Hunan, Peoples R China
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 22期
关键词：
fuzzy cellular neural networks; global asymptotic stability; topological degree theory; Lyapunov functional; equilibrium point;
D O I：
10.1016/j.physleta.2008.01.063
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter fuzzy cellular neural networks with time-varying delays are studied. Sufficient conditions for the existence, uniqueness and global asymptotic stability of equilibrium point are established by using the theory of topological degree and applying the properties of nonsingular M-matrix. The activation functions are not required to be differentiable, bounded or monotone nondecreasing. The results of this Letter are new and they complement previously known results. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：3971 / 3977
页数：7
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