Stability analysis of positive semi-Markovian jump linear systems with state resets
Optimization and Control
2016-11-04 v3
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.
Keywords
Cite
@article{arxiv.1309.2720,
title = {Stability analysis of positive semi-Markovian jump linear systems with state resets},
author = {Masaki Ogura and Clyde F. Martin},
journal= {arXiv preprint arXiv:1309.2720},
year = {2016}
}