Disjointed Cycle Time Assignment for Min–Max Systems Using an Output Feedback

Abstract

In min-max systems, the cycle time plays an important role on analyzing the performance metric. In this work, we mainly investigate the performances of the min-max systems with cycle time assignment, which corresponding to the feedback problem in linear systems. It is achieved that the cycle time can be assigned disjointedly by an output feedback in linear systems, if and only if the system is reachable and at least has an output node which has only one observable condensed node. In this way, for the min-max system with max-plus inputs and outputs, the sufficient condition for the output feedback cycle time assignability is can be obtained.