Stability of singular stochastic systems with Markovian switching

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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)

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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.

ORCID iDs

Huang, Lirong and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
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