English

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

Optimization and Control 2015-07-29 v2

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.

Keywords

Cite

@article{arxiv.1506.07940,
  title  = {Null boundary controllability of a 1-dimensional heat equation with an internal point mass},
  author = {Scott W. Hansen and Jose de Jesus Martinez},
  journal= {arXiv preprint arXiv:1506.07940},
  year   = {2015}
}

Comments

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