Steady state of continuous neutral weighted marked graphs

Hybrid Petri Nets (PN), combining T-timed discrete PN and continuous PN, are convenient for the modelling and the performance analysis of fluid systems or manufacturing systems such as batch or high speed production systems. For instance, the continuous process can be modelled by a continuous PN while the state of machines, up or down, can be represented by a discrete PN. The aim of the paper is to characterise the timed dynamic behaviour of continuous PN with constant speed. More precisely, the final values of the instantaneous firing speeds of continuous neutral weighted marked graph, supposed live, are determined independently of the initial marking and without using the timed evolution. Finally an application to a flow system is given