Stochastic stability of a class of nonlinear systems with randomly varying time-delay

Author

Kolmanovsky, I. ; Maizenberg, T.L.

Author_Institution

Ford Res. Lab., Dearborn, MI, USA

Volume

6

fYear

2000

fDate

2000

Firstpage

4304

Abstract

This article studies the mean square stochastic stability of a class of continuous time nonlinear systems with a time-varying, random delay. The criteria for stability of systems of this kind are important for industrial embedded control applications. The evolution of the delay is modelled by a continuous-time Markov process with a finite number of states. The global asymptotic mean-square stochastic stability conditions are given in terms of transition probabilities of the Markov process and stability properties of the system with a constant delay

Keywords

Markov processes; asymptotic stability; continuous time systems; delay systems; nonlinear systems; probability; stochastic systems; Markov process; asymptotic stability; continuous time systems; delay systems; mean square stability; nonlinear systems; stochastic systems; transition probability; Asymptotic stability; Control systems; Delay effects; Electrical equipment industry; Industrial control; Markov processes; Nonlinear systems; Stability criteria; Stochastic systems; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.877033

Filename

877033