Robust stabilization of positive switched systems with polytopic uncertainty

This paper studies robust stabilization of a class of positive switched systems with polytopic uncertainty. This paper gives sufficient conditions for robust stabilization of positive switched systems. By means of the multiple linear co-positive Lyapunov functions associated with linear programming approach, the control synthesis of systems with average dwell time is addressed. State-feedback controllers are designed to guarantee the stability of considered systems. Finally, two examples are given to illustrate the proposed method.