Asymptotic stability analysis of nonlinear stochastic semi‐Markov jump systems

In this article, three different types of stochastic asymptotic stability for nonlinear stochastic semi‐Markov jump systems (SSMJS) are investigated. Novel sufficient conditions for p$$ p $$th (p>0)$$ \left(p>0\right) $$‐moment asymptotic stability, almost sure asymptotic stability and stochas...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2023-09, Vol.33 (14), p.8615-8630
Main Authors: Liu, Jiamin, Colaneri, Patrizio, Bolzern, Paolo, Li, Zhao‐Yan
Format: Article
Language:English
Subjects:
almost sure stability
Asymptotic properties
moment stability
semi‐Markov jump
Stability analysis
stochastic equations
stochastic stability in the large
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Summary:In this article, three different types of stochastic asymptotic stability for nonlinear stochastic semi‐Markov jump systems (SSMJS) are investigated. Novel sufficient conditions for p$$ p $$th (p>0)$$ \left(p>0\right) $$‐moment asymptotic stability, almost sure asymptotic stability and stochastic asymptotic stability in the large are obtained. It is remarkable that the obtained results in the latter case cover the results in existing literature. Finally, two examples are presented to confirm the validity of the obtained theoretical results.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.6837