Just in Time Control of constrained (max,+)-Linear Systems

Laurent Houssin (1) , Sébastien Lahaye (1) , Jean-Louis Boimond (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

This paper deals with just in time control of (max,+)-linear systems. The output tracking problem, considered in previous studies, is generalized by considering additional constraints in the control objective. The problem is formulated as an extremal fixed point computation. This control is applied to timetables computation for urban bus networks.

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]; Mathématique discrète [cs.DM]

Laurent Houssin, Sébastien Lahaye, Jean-Louis Boimond. Just in Time Control of constrained (max,+)-Linear Systems. Discrete Event Dynamic Systems, 2007, 17 (2), pp.159-178. ⟨hal-00366751⟩