Xavier David-Henriet, L. Hardouin, J. Raisch, Bertrand Cottenceau
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Optimal control for timed event graphs under partial synchronization
Timed event graphs (TEGs) are a subclass of timed Petri nets suitable to model decision-free timed discrete event systems. In classical TEGs, exact synchronization of two transitions T1 and T2 is available by requiring that transitions T1 and T2 fire simultaneously. In this paper, a new sort of synchronization, namely partial synchronization, is introduced: transition T2 has to fire when transition T1 fires, but transition T1 is not influenced by transition T2. Under some assumptions, optimal control, already available for classical TEGs, is extended to TEGs under partial synchronization.