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Asymptotic Stabilizability by Stationary Feedback of the Two-Dimensional Euler Equation: The Multiconnected Case

Glass, Olivier (2005), Asymptotic Stabilizability by Stationary Feedback of the Two-Dimensional Euler Equation: The Multiconnected Case, SIAM Journal on Control and Optimization, 44, 3, p. 1105-1147. http://dx.doi.org/10.1137/S0363012903431153

Type
Article accepté pour publication ou publié
Date
2005
Nom de la revue
SIAM Journal on Control and Optimization
Volume
44
Numéro
3
Éditeur
SIAM
Pages
1105-1147
Identifiant publication
Métadonnées
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Auteur(s)
Glass, Olivier
Résumé (EN)
We construct a feedback law which allows us to asymptotically stabilize the Euler system for incompressible inviscid fluids in two dimensions, in the case of a multiconnected bounded domain, by means of a control localized on a part of the boundary that meets every connected component of the boundary. This generalizes a result of Coron [{SIAM J. Control Optim., 37 (1999), pp. 1874--1896] concerning simply connected domains.
Mots-clés
incompressible inviscid fluids; stabilization by feedback control