An implicit systems for modelling and control of discrete event systems

In this work, we address modelling and control of discrete event systems modelled by P-time event graphs by means of discrete implicit linear systems. From this modelling, a closed loop control problem is expressed for such systems. Our objective is to design a static feedback gains that gives at each step, the sejourn time of places, which guarantees: the convergence to a given desired trajectory and the respect of the constraints of the modelled system.