Stability of stochastic interval systems with time delays

被引：33

作者：

Mao, XR ^{[1
]}

Selfridge, C ^{[1
]}

机构：

[1] Univ Strathclyde, Dept Stat & Modelling Sci, Glasgow G1 1XH, Lanark, Scotland

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 42卷 / 04期

关键词：

interval system; stochastic delay perturbation; exponential stability;

D O I：

10.1016/S0167-6911(00)00103-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Consider a given exponentially stable system undergoing a random perturbation which is dependent on a past state of the solution of the system. Suppose this stochastic ally perturbed system is de scribed by a stochastic differential-functional equation. In this paper, we establish a sufficient condition that the perturbed system remains exponentially stable. Using a specific example, we show how this condition may be used, and we extend it to deal with multiple time delays. (C) 2001 Published by Elsevier Science B.V.

引用

页码：279 / 290

页数：12

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