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arXiv · 1501.03474

Stability of Markov regenerative switched linear systems

Masaki Ogura·Victor M. Preciado
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Abstract

In this paper, we give a necessary and sufficient condition for mean stability of switched linear systems having a Markov regenerative process as its switching signal. This class of switched linear systems, which we call Markov regenerative switched linear systems, contains Markov jump linear systems and semi-Markov jump linear systems as special cases. We show that a Markov regenerative switched linear system is $m$th mean stable if and only if a particular matrix is Schur stable, under the assumption that either $m$ is even or the system is positive.

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Masaki Ogura, Victor M. Preciado. 2015-01-14. Stability of Markov regenerative switched linear systems. https://doi.org/10.1016/j.automatica.2016.02.022

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