Analysis of Periodic Discrete Event Systems in (Max,+) Algebra

Sébastien Lahaye (1, 2) , Jean-Louis Boimond (1) , Laurent Hardouin (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés
2 Commissariat à l'Energie Atomique

Discrete Event Dynamic Systems modeled by (max,+) linear equations with periodically varying coefficients are studied. It turns out that spectral properties of the so-called monodromy matrix can be used for the performance evaluation of these systems.

Mots clés: Discrete Event Dynamic Systems; (max; +) Algebra; Periodic Systems

Domaines: Sciences de l'ingénieur [physics]

Sébastien Lahaye, Jean-Louis Boimond, Laurent Hardouin. Analysis of Periodic Discrete Event Systems in (Max,+) Algebra. WODES'2000, Workshop on Discrete Event Systems, Aug 2000, Ghent, Belgium. pp.93-102. ⟨hal-00845026⟩