Bézout Identity in Pseudoratoinal Transfer Functions - INRIA - Institut National de Recherche en Informatique et en Automatique Accéder directement au contenu
Communication Dans Un Congrès Année : 2021

Bézout Identity in Pseudoratoinal Transfer Functions

Identités de Bézout pour des fonctions de transfert pseudo-rationnelles

Résumé

Coprime factorizations of transfer functions play various important roles, e.g., minimality of realizations, stabilizability of systems, etc. This paper studies the Bézout condition over the ring E (R −) of distributions of compact support and the ring M(R −) of measures with compact support. These spaces are known to play crucial roles in minimality of state space representations and controllability of behaviors. We give a detailed review of the results obtained thus far, as well as discussions on a new attempt of deriving general results from that for measures. It is clarified that there is a technical gap in generalizing the result for M(R −) to that for E (R −). A detailed study of a concrete example is given.
Fichier principal
Vignette du fichier
MTNS20__YYCB.pdf (161.34 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03158705 , version 1 (04-03-2021)

Identifiants

Citer

Yutaka Yamamoto, Catherine Bonnet. Bézout Identity in Pseudoratoinal Transfer Functions. MTNS 2021 -24th International Symposium on Mathematical Theory of Networks and Systems, Aug 2021, Cambridge, United Kingdom. ⟨10.1016/j.ifacol.2021.06.153⟩. ⟨hal-03158705⟩
100 Consultations
325 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More