Electron. J. Diff. Equ., Vol. 2010(2010), No. 114, pp. 1-13.

Observability and controllability for a vibrating string with dynamical boundary control

Ali Wehbe

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.

Submitted June 21, 2010. Published August 17, 2010.
Math Subject Classifications: 35B37, 35D05, 93C20, 73K50.
Key Words: Wave equation; dynamical control; exact controllability; HUM method.

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Ali Wehbe
Lebanese University, Faculty of sciences I
Hadath-Beirut, Lebanon
email: ali.wehbe@ul.edu.lb

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