Mean-square stability of nonlinear systems with time-varying, random delay

被引：20

作者：

Kolmanovsky, I

Maizenberg, TL

机构：

[1] Ford Res Lab, Dearborn, MI USA

[2] Moscow State Min Univ, Moscow, Russia

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2001年 / 19卷 / 02期

关键词：

delay systems; stability; random delays; Lyapunov 2nd method;

D O I：

10.1081/SAP-100001189

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of nonlinear systems with a time-varying delay is considered. The delay is modeled by a continuous-time Markov process with a finite number of states. Systems of this type may arise in real-time control applications. Employing a "delay-averaging" approach we demonstrate how certain mean-square stochastic stability conditions can be derived in terms of transition functions of the Markov process and stability properties of a system with a constant delay.

引用

页码：279 / 293

页数：15

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