HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

Bézout Identity in Pseudoratoinal Transfer Functions

Abstract : 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.
Document type :
Conference papers
Complete list of metadata

Contributor : Catherine Bonnet Connect in order to contact the contributor
Submitted on : Thursday, March 4, 2021 - 9:49:12 AM
Last modification on : Friday, February 4, 2022 - 3:14:02 AM
Long-term archiving on: : Saturday, June 5, 2021 - 6:25:32 PM


Files produced by the author(s)


  • HAL Id : hal-03158705, version 1


Yutaka Yamamoto, Catherine Bonnet. Bézout Identity in Pseudoratoinal Transfer Functions. MTNS 2020 - 24th International Symposium on Mathematical Theory of Networks and Systems, Aug 2021, Cambridge, United Kingdom. ⟨hal-03158705⟩



Record views


Files downloads