OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

Puzzles in pipes with negative curvature: from the Webster PDE to stable numerical simulation in real time

Mignot, Rémi and Hélie, Thomas and Matignon, Denis Puzzles in pipes with negative curvature: from the Webster PDE to stable numerical simulation in real time. (2009) In: IFAC workshop on Control of Distributed Parameter Systems, CDPS 09, 20-24 Jul 2009, Toulouse, France .

[img]
Preview
(Document in English)

PDF ( Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
109kB

Abstract

Minimal realizations of a class of delay-differential systems are derived for the digital simulation of waveguides, modelled by the Webster horn equation. Studying their stability is an interesting issue, since negative curvatures could lead to unstable systems. Spectral properties of Toeplitz matrix play a key role in this work.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Institut de Recherche et Coordination Acoustique/Musique - IRCAM (FRANCE)
Laboratory name:
Statistics:download
Deposited By: Denis Matignon
Deposited On:06 May 2013 14:31

Repository Staff Only: item control page