A Modeling Method of SISO Discrete-Event Systems in Max Algebra

Jean-Louis Boimond (1) , Laurent Hardouin (1) , P. Chiron (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

This paper deals with the modeling of the time behavior of discrete-event systems in (max, +) algebra. The systems we consider are linearly modeled in this algebra. The proposed method is inspired by conventional linear system theory : from an ARMA form of the model and the system impulse response, the model parameters are computed by using a basic result of Residuation Theory in order to minimize an error criterion.

Mots clés: Discrete-event systems; (max; +) algebra; identification; transfer function; ARMA model.; ARMA model

Domaines: Sciences de l'ingénieur [physics]

Jean-Louis Boimond, Laurent Hardouin, P. Chiron. A Modeling Method of SISO Discrete-Event Systems in Max Algebra. European Control Conference ECC'95, Sep 1995, Rome, Italy. pp.2023-2026. ⟨hal-00843551⟩