Null boundary controllability of a 1-dimensional heat equation with an internal point mass

Abstract

We consider a linear hybrid system composed by two rods of equal length connected by a point mass. We show that the system is null controllable with Dirichlet and Neumann controls. The results are based on a careful spectral spectral analysis together with the moment method.

12 pages, typos corrected, added references, matches version to be submitted to Systems and Control Letters