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.
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