Stabilization via switching of positive Markov jump linear systems

This paper deals with positive Markov jump linear systems with an additional switching control signal that affects the stochastic subsystems dynamics. This control signal is used for stochastic stabilization and performance optimization. Stability for MJLS is considered in the sense of mean stability and almost-sure stability. Various sufficient conditions for stabilization and performance optimization are worked out, exploiting the positiveness of the system and the concept of stochastic co-positive piecewise linear control Lyapunov function.