Stabilization for impulsive switched positive systems under asynchronous switching

In this paper, the stabilization problem for a family of impulsive switched positive systems under asynchronous switching is addressed. By using multiple linear copositive Lyapunov functions approach and dual system theory, the state feedback controller is designed to guarantee the positivity and exponential stability for the closed-loop system. The total running interval ratio between matched period and mismatched period is restricted to be more than a known constant and the switching frequency satisfies an average dwell time. In addition, the impulse-free case is also discussed. Our obtained results are all formulated in terms of linear programming problem, which is numerical feasible. Finally, a numerical example is presented to demonstrate the validity of our results.