Exponential stability for stochastic BAM networks with discrete and distributed delays

被引:41
|
作者
Bao, Haibo [1 ]
Cao, Jinde [1 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Exponential stability in the mean square; BAM neural networks; Lyapunov functional; Discrete and distributed delays; LMI; GLOBAL ASYMPTOTIC STABILITY; ASSOCIATIVE MEMORY NETWORKS; REACTION-DIFFUSION TERMS; NEURAL-NETWORKS; TIME-DELAYS; EXISTENCE;
D O I
10.1016/j.amc.2011.11.035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate exponential stability for stochastic BAM networks with mixed delays. The mixed delays include discrete and distributed time-delays. The purpose of this paper is to establish some criteria to ensure the delayed stochastic BAM neural networks are exponential stable in the mean square. A sufficient condition is established by consructing suitable Lyapunov functionals. The condition is expressed in terms of the feasibility to a couple LMIs. Therefore, the exponential stability of the stochastic BAM networks with discrete and distributed delays can be easily checked by using the numerically efficient Matlab LMI toobox. A simple example is given to demonstrate the usefulness of the derived LMI-based stability conditions. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:6188 / 6199
页数:12
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