Exponential stability of discrete-time switched linear positive systems with time-delay

This paper addresses the exponential stability problem for a class of discrete-time switched linear positive systems (DSLPSs) with time-delay. Firstly, an exponential stability criterion for a non-switched delay positive system is proposed. Then, by constructing a suitable co-positive type Lyapunov–Krasovskii functional, an exponential stability criterion for switched delay positive systems is derived via the average dwell time approach, and a stability criterion for switched positive systems with multiple delays is stated and its proof is sketched. Finally, a numerical example is given to illustrate the obtained results.