Exponential stability of discrete-time positive impulsive switched systems

This paper investigates the exponential stabilization analysis of discrete-time positive impulsive switched systems(DPISS). Firstly, the concept of exponential stability is proposed. Secondly, the multiple linear co-positive Lyapunov function (MLCLF) is constructed, a controller based on state feedback is established via average dwell time(ADT). The obtained sufficient conditions can ensure that the corresponding closed-loop system is exponentially stable. The conditions can be calculated by linear programming(LP). Finally, a numerical example is given to exhibit the efficiency of the presented technique.