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• W2255834594 abstract "This paper investigates the mean stability of a class of discrete-time stochastic switched linear systems using the $L^p$-norm joint spectral radius of the probability distributions governing the switched systems. First we prove a converse Lyapunov theorem that shows the equivalence between the mean stability and the existence of a homogeneous Lyapunov function. Then we show that, when $p$ goes to $infty$, the stability of the $p$th mean becomes equivalent to the absolute asymptotic stability of an associated deterministic switched system. Finally we study the mean stability of Markovian switched systems. Numerical examples are presented to illustrate the results." @default.
• W2255834594 created "2016-06-24" @default.
• W2255834594 creator A5044435554 @default.
• W2255834594 creator A5051410414 @default.
• W2255834594 date "2014-09-21" @default.
• W2255834594 modified "2023-09-27" @default.
• W2255834594 title "On the mean stability of a class of switched linear systems" @default.
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