On persistent excitations for the identification of switched linear dynamical systems over finite fields - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2014

On persistent excitations for the identification of switched linear dynamical systems over finite fields

Résumé

This paper discusses the issue of the Persistent Excitation (PE) conditions in the context of identification for dynamical systems defined over a finite field. The work is motivated by the fact that the asymptotical property of the PE conditions for dynamical systems defined over the field of real numbers is no longer valid in the case of systems defined over finite fields. The special class of switched linear discrete-time systems for which the mode is assumed to be unknown is considered. A necessary and sufficient condition that provides the minimum amount of data required for the identification is first proposed. Next, a necessary condition is derived that gives the structural condition the system must satisfy, regardless of the availability of data. Finally, some computational aspects are discussed and examples are given to illustrate the validity of the proposed results.
Fichier principal
Vignette du fichier
paper.pdf (402.68 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01090815 , version 1 (04-12-2014)

Identifiants

Citer

Gilles Millérioux, Jamal Daafouz. On persistent excitations for the identification of switched linear dynamical systems over finite fields. Automatica, 2014, 50 (12), pp.3246-3252. ⟨10.1016/j.automatica.2014.10.050⟩. ⟨hal-01090815⟩
119 Consultations
195 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More