OBSERVABILITY AND CONTROLLABILITY FOR A VIBRATING STRING WITH DYNAMICAL BOUNDARY CONTROL.

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. [ABSTRACT FROM AUTHOR]