On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays

Author

Huang, Lirong ; Mao, Xuerong

Author_Institution

Dept. of Math. & Stat., Univ. of Strathclyde, Glasgow, UK

Volume

55

Issue

8

fYear

2010

Firstpage

1946

Lastpage

1952

Abstract

This note develops a criterion for almost sure stability of hybrid stochastic systems with mode-dependent interval time delays, which improves an existing result by exploiting the relation between the bounds of the time delays and the generator of the continuous-time Markov chain. The improved result shows that the presence of Markovian switching is quite involved in the stability analysis of delay systems. Numerical examples are given to verify the effectiveness.

Keywords

Markov processes; continuous time systems; delay systems; stability; stochastic systems; Markovian switching; continuous-time Markov chain; hybrid stochastic system; mode-dependent interval delay; stability analysis; time delay system; Backstepping; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Electric shock; Equations; Feedback; Hybrid power systems; Macroeconomics; Power system dynamics; Power system modeling; Stability analysis; Stability criteria; Stochastic systems; Virtual manufacturing; Almost sure stability; LaSalle-type theorem; Markov chain; stochastic systems; time delays;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2010.2050160

Filename

5462844