Identification of Simple Elements in Max-Algebra: Application to SISO Discrete Event Systems Modelisation

F. Gallot (1) , Jean-Louis Boimond (1) , Laurent Hardouin (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

We propose to modelise the time behaviour of SISO discrete- event systems linear in Max-algebra. The method is inspired from the conventional linear system theory: from the impulse response, the model is obtained by using a decomposition of the system into a sum of first order sub-systems. From an ARMA form, we compute the parameters of the model by using both results of residuation theory to minimise an error criterion and decomposition of periodic series.

Domaines: Sciences de l'ingénieur [physics]

F. Gallot, Jean-Louis Boimond, Laurent Hardouin. Identification of Simple Elements in Max-Algebra: Application to SISO Discrete Event Systems Modelisation. ECC'97, Jul 1997, Bruxelles, Belgium. pp.x-x. ⟨hal-00843987⟩