Cycle time assignment of min-max systems using a state feedback

For nonlinear discrete event dynamic systems described by a min-max function, we show that the cycle time can be assigned disjointedly by a state feedback, if and only if the system is reachable. Further, a simple necessary and sufficient condition for that the cycle time can be assigned independently by a state feedback is given. Hence the difficult problem which corresponds to the pole assignment problem in traditional linear control systems are solved in this paper.