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 mth mean stable if and only if a particular matrix is schur stable, under the
assumption that either m is even or the system is positive.
key words: switched linear systems; mean stability; markov regenerative processes; positive systems