Exponential stability analysis of uncertain stochastic neural networks with multiple delays

被引:71
作者
Huang, He [1 ]
Cao, Jinde
机构
[1] SE Univ, Dept Comp Sci & Engn, Nanjing 210096, Peoples R China
[2] SE Univ, Dept Math, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
neural networks; Stochastic systems; uncertainties; time-varying delays; linear matrix inequality;
D O I
10.1016/j.nonrwa.2006.02.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper addresses the stability analysis problem for stochastic neural networks with parameter uncertainties and multiple time delays. The delays are time varying, and the parameter uncertainties are assumed to be norm bounded. A sufficient condition is derived such that for all admissible uncertainties, the considered neural network is globally exponentially stable in the mean square. The stability criterion is formulated by means of the feasibility of a linear matrix inequality (LMI), which can be easily checked in practice. Finally, a numerical example is provided to illustrate the proposed result. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:646 / 653
页数:8
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