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Asymptotic stability of linear conservative systems when coupled with diffusive systems

Matignon, Denis and Prieur, Christophe Asymptotic stability of linear conservative systems when coupled with diffusive systems. (2005) ESAIM: Control, Optimisation and Calculus of Variations, vol. 11 (n° 3). pp. 487-507. ISSN 1292-8119

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Official URL: http://dx.doi.org/10.1051/cocv:2005016

Abstract

In this paper we study linear conservative systems of finite dimension coupled with an infinite dimensional system of diffusive type. Computing the time-derivative of an appropriate energy functional along the solutions helps us to prove the well-posedness of the system and a stability property. But in order to prove asymptotic stability we need to apply a sufficient spectral condition. We also illustrate the sharpness of this condition by exhibiting some systems for which we do not have the asymptotic property.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.esaim-cocv.org The original PDF of the article can be found at ESAIM: Control, Optimisation and Calculus of Variations website: http://www.esaim-cocv.org/articles/cocv/abs/2005/03/contents/contents.html
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole nationale supérieure des Télécommunications - ENST (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Denis Matignon
Deposited On:30 Sep 2016 08:34

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