Stability of Markov regenerative switched linear systems
Systems and Control
2016-11-04 v2 Optimization and Control
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 th mean stable if and only if a particular matrix is Schur stable, under the assumption that either is even or the system is positive.
Cite
@article{arxiv.1501.03474,
title = {Stability of Markov regenerative switched linear systems},
author = {Masaki Ogura and Victor M. Preciado},
journal= {arXiv preprint arXiv:1501.03474},
year = {2016}
}