Geodesic
Observability and controllability for a vibrating string with dynamical boundary control
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the exact controllability of a wave equation by means of dynamical boundary control. Unlike the classical control, a difficulty is due to the presence of the dynamical type. First, we establish a new weak observability results. Next, by the HUM method, we prove that the system is exactly controllable by means of regular dynamical boundary control.
Classification : 35B37, 35D05, 93C20, 73K50
Keywords: wave equation, dynamical control, exact controllability, HUM method 
@article{EJDE_2010__2010__a4,
     author = {Wehbe, Ali},
     title = {Observability and controllability for a vibrating string with dynamical boundary control},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a4/}
}
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Wehbe, Ali. Observability and controllability for a vibrating string with dynamical boundary control. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a4/