Null controllability of the structurally damped wave equation with moving point control - Mines Paris Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2013

Null controllability of the structurally damped wave equation with moving point control

Résumé

We investigate the internal controllability of the wave equation with structural damping on the one-dimensional torus. We assume that the control is acting on a moving point or on a moving small interval with a constant velocity. We prove that the null controllability holds in some suitable Sobolev space and after a fixed positive time independent of the initial conditions.
Fichier principal
Vignette du fichier
Null_controllability.pdf (296.85 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00829857 , version 1 (04-06-2013)

Identifiants

Citer

Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the structurally damped wave equation with moving point control. SIAM Journal on Control and Optimization, 2013, 51 (1), pp.660-684. ⟨10.1137/110856150⟩. ⟨hal-00829857⟩
362 Consultations
384 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More