On almost sure stability of hybrid stochastic systems with mode-dependent interval delays

Lirong Huang, Xuerong Mao

Research output: Contribution to journalArticle

32 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)1946-1952
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume55
Issue number8
DOIs
Publication statusPublished - 10 May 2010

Keywords

  • almost sure stability
  • time delays
  • stochastic systems
  • markov chain
  • LaSalle-type theorem

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