- Published 2014 in SIAM J. Control and Optimization

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.

Citations per Year

Averaging **8 citations** per year over the last 3 years.

@article{Ogura2014StabilityAO,
title={Stability Analysis of Positive Semi-Markovian Jump Linear Systems with State Resets},
author={Masaki Ogura and Clyde F. Martin},
journal={SIAM J. Control and Optimization},
year={2014},
volume={52},
pages={1809-1831}
}