Boundary control systems on a one-dimension spatial domain
Optimization and Control
2026-02-06 v3
Abstract
The aim of this paper is to investigate the well-posedness of a class of boundary control and observation systems on a one dimensional spatial domain. We derive a necessary and sufficient condition characterizing the well-posedness of these systems. Furthermore, we show that the well-posedness and full control and observation implies exact controllability and exact observability. The theoretical results are illustrated using Euler-Bernoulli beam models.
Cite
@article{arxiv.2601.01634,
title = {Boundary control systems on a one-dimension spatial domain},
author = {Bouchra Elghazi and Birgit Jacob and Hans Zwart},
journal= {arXiv preprint arXiv:2601.01634},
year = {2026}
}
Comments
24 pages