Stabilization of positive switched linear systems under state-dependent switching

This paper mainly studies the stabilization of the positive switched linear system under the state-dependent switching. Without assuming that each subsystem is asymptotically stable, we design appropriate switching signals in terms of Lyapunov-Metzler inequalities such that the system is asymptotically stable. Both the continuous-time and the discrete-time positive switched systems are taken into consideration. Numerical example is also given to verify the validity of our results.