%0 Journal Article
%T Stability analysis of positive semi-Markovian jump linear systems with state resets
%A Masaki Ogura
%A Clyde F. Martin
%J Mathematics
%D 2013
%I arXiv
%R 10.1137/130925177
%X 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.
%U http://arxiv.org/abs/1309.2720v3