Geodesic
Observability and controllability for a vibrating string with dynamical boundary control
Electronic journal of differential equations, Tome 2010 (2010)
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},
     year = {2010},
     volume = {2010},
     zbl = {1198.35141},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a4/}
}
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JO  - Electronic journal of differential equations
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VL  - 2010
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%0 Journal Article
%A Wehbe,  Ali
%T Observability and controllability for a vibrating string with dynamical boundary control
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a4/
%G en
%F EJDE_2010__2010__a4
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/