Shape, Velocity, and Exact Controllability for the Wave Equation

Abstract

A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their associated moment problems. This enables one to solve the moment problem associated to exact controllability.

Keywords

• exact controllability
• wave equation
• shape controllability
• velocity controllability
• moment problem