This paper considers asynchronously input-output finite-time control of discrete-time nonlinear impulsive positive switched systems (DNIPSS). Firstly, the definition of input-output finite-time stability (IO-FTS) is introduced. By using the linear co-positive Lyapunov function (LCLF) and average dwell time (ADT) approach, a state feedback controller via asynchronous switching is designed and sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS. Such conditions can be solved by linear programming. Furthermore, the mode-dependent average dwell time (MDADT) method for asynchronously input-output finite-time control of DNIPSS is also presented. Finally, two examples are provided to show the effectiveness of the proposed method.
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