Finite-Time $p$th Moment Stability of Switched Stochastic Time-Varying Systems
In this paper, the problem of finite-time <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$p$</tex>th moment stability for switched stochastic time-varying systems is investigated. By leveraging the Lyapunov-Razumikhin method and stochastic analysis theory, we establish two finite-time <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$p$</tex>th moment stability theorems for stochastic switched time-varying systems, where the upper bound estimation for the operator of Lyapunov function (UBEOL) is assumed to be time varying and mode dependent. Finally, two examples are given to illustrate the effectiveness of the theoretical results.
Authors
- Weiwei Luo (ORCID: https://orcid.org/0000-0001-7221-6554)
- Song‐Ping Zhu (ORCID: https://orcid.org/0000-0002-2863-0640)
- Wenbo Fu (ORCID: https://orcid.org/0000-0002-5391-5904)
- Hongru Li (ORCID: https://orcid.org/0000-0001-9847-6733)
Institutions
- China University of Mining and Technology (CN)
Publication Details
- Published
- 2025-07-04
- DOI
- https://doi.org/10.1109/fasta65681.2025.11138521
- Primary Topic
- Stability and Control of Uncertain Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00