Stabilization for a class of switched positive systems with state constraints

This paper studies the stabilization problem for a class of switched positive systems with state constraints. An improved average dwell time method is presented to take into account different decay rates of a Lyapunov function related to an active subsystem according to the saturations occurring or not. By making sure that the closed-loop system satisfy the sufficient condition of positive systems, the state of the switched system can be constrained in a positive space. The sufficient conditions for stability and stabilizability of the switched system with state constraints are obtained, and the stabilizing state feedback controllers are designed.