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arXiv · 1309.2720

Stability analysis of positive semi-Markovian jump linear systems with state resets

Masaki Ogura·Clyde F. Martin
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Abstract

This paper studies the mean stability of positive semi-Markovian jump linear systems. We show that their mean stability is characterized by the spectral radius of a matrix that is easy to compute. In deriving the condition we use a certain discretization of a semi-Markovian jump linear system that preserves stability. Also we show a characterization for the exponential mean stability of continuous-time positive Markovian jump linear systems. Numerical examples are given to illustrate the results.

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Masaki Ogura, Clyde F. Martin. 2013-09-11. Stability analysis of positive semi-Markovian jump linear systems with state resets. https://doi.org/10.1137/130925177

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