Delay-dependent criteria for robust stability of uncertain switched Hopfield neural networks

被引：19
|
作者：
Lou X.-Y. [1 ]
Cui B.-T. [1 ]
机构：
[1] College of Communication and Control Engineering, Jiangnan University, Wuxi 214122
来源：
Int. J. Autom. Comput. | 2007年 / 3卷 / 304-314期
基金：
中国国家自然科学基金;
关键词：
Delay-dependent criteria; Hopfield neural networks; Linear matrix inequality; Robust stability; Switched systems; Time-varying delay;
D O I：
10.1007/s11633-007-0304-0
中图分类号：
学科分类号：
摘要：
This paper deals with the problem of delay-dependent robust stability for a class of switched Hopfield neural networks with time-varying structured uncertainties and time-varying delay. Some Lyapunov-Krasovskii functionals are constructed and the linear matrix inequality (LMI) approach and free weighting matrix method are employed to devise some delay-dependent stability criteria which guarantee the existence, uniqueness and global exponential stability of the equilibrium point for all admissible parametric uncertainties. By using Leibniz-Newton formula, free weighting matrices are employed to express this relationship, which implies that the new criteria are less conservative than existing ones. Some examples suggest that the proposed criteria are effective and are an improvement over previous ones. © 2007 Institute of Automation, Chinese Academy of Sciences.
引用
收藏
页码：304 / 314
页数：10
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