Stability of singular stochastic systems with Markovian switching

Huang, Lirong and Mao, Xuerong (2011) Stability of singular stochastic systems with Markovian switching. IEEE Transactions on Automatic Control, 56 (2). pp. 424-429. ISSN 0018-9286 (https://doi.org/10.1109/TAC.2010.2088850)

Abstract

In recent years, singular hybrid systems have received considerable attention. However, few results are concerned with stability of singular hybrid stochastic systems. Based on a stability result for singular hybrid systems, this note studies mean-square stability of singular hybrid stochastic systems. It is found that the diffusions and the Markov chain may play important roles in system analysis in mean-square sense. As a special case, a criterion for mean-square stability of hybrid stochastic systems is developed by the frequency domain approach.

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• Item metadata

  Item type:	Article
  ID code:	30120
  Dates:	Date Event February 2011 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	15 Nov 2011 16:57
  Last modified:	08 Apr 2024 18:56
  Related URLs:	Scopus publication http://ieeexplore.ieee.org/xpls/abs_all....
  URI:	https://strathprints.strath.ac.uk/id/eprint/30120