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Steady-state of continuous neutral weighted marked graphs.

Demongodin, I.; Mostefaoui, M.; Sauer, N.

In: Proc. IEEE Int. Conf. on Systems, Man, and Cybernetics (SMC'2000), 8-11 October 2000, Nashville, TN, Vol. 4, pages 3189-3194. 2000.

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

Keywords: fluid systems, hybrid Petri nets, performance analysis, steady-state analysis, weighted marked graphs.


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