Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2050160
