Galerkin projections for some wave and plate boundary control problems

Abstract

In this paper we describe a method for projecting the solutions of a wide class of wave and plate control problems with one active boundary control. These projections are reduced to solving completely controllable finite dimensional linear control problems with a scalar control where the control is introduced through a fixed function defined on the boundary of the wave or plate.

Keywords:

• Gelerkin approximations
• controllability
• wave and plate control problems