ON JUST IN TIME CONTROL OF SWITCHING MAX-PLUS LINEAR SYSTEMS

Discrete event systems involving synchronization and delay phenomena can be described by a linear state representation over (max,+) algebra. Some discrete event systems involving choice phenomena could be transformed, under some conditions, into switching max-plus linear systems modeled as automata. The switching between states of these automata is governed by a switching variable. This paper deals with the just in time control of these switching max-plus linear systems. The control problem we propose is optimal under just in time criterion when the switching variable is given on the study horizon.