Abstract
In this paper we work on the output feedback minimal time control problem, that is, the minimal time control problem of linear discrete-time systems in which the output feedback is allowed, but not the state feedback. And it is shown that the output feedback minimal time control system can be constructed by combining the state feedback minimal time control laws with the minimal time linear function observers designed comformably to that control laws, for the objective discrete-time systems. Also, the necessary and sufficient conditions to construct the output feedback minimal time control system, and the minimality of control time of that system are considered.