Abstract
The purpose of this paper is to treat the problem of controllability of the distributed-parameter systems described by the linear wave equation. We consider both finite dimensional distributed control functions appearing in the differential equation and boundary control functions appearing in the boundary condition. When the controllers appear in the differential equation, it is desirable from an engineering viewpoint that the support of the controllers is “small”. For this reason, the idealized case, where the controllers are expressed by Dirac's δ-measures, is also treated. In each case, the necessary and sufficient condition for controllability is obtained.
