Stochastic stability of switching linear systems with application to an automotive powertrain model

Alessandro N. Vargas, Constantin F. Caruntu, João Y. Ishihara and Hassane Bouzahir

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 191, issue C, 278-287

Abstract: This paper presents a simple-to-check stability condition for switching linear systems driven by stochastic switching signals. The stability concept under investigation is known as the mean-square asymptotic stability. The main assumption is that the switching intervals form independent, identically distributed random processes. Under this assumption, the stability condition requires checking the spectral radius of certain matrices. The effectiveness of the stability result is illustrated through an automotive powertrain model. Data from the automotive powertrain simulator support the theoretical findings.

Keywords: Stochastic systems; Linear systems; Switching systems; Automotive applications (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:191:y:2022:i:c:p:278-287

DOI: 10.1016/j.matcom.2021.08.006

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