Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 114, pp. 1-13.

Title: Observability and controllability for a vibrating string with
       dynamical boundary control
       
Author: Ali Wehbe (Lebanese Univ. Hadath-Beirut, Lebanon)

Abstract:
 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.