Well-posedness and controllability of hyperbolic boundary control systems on a one-dimensional spatial domain

2026/01/04 by Bouchra Elghazi, Birgit Jacob, Hans Zwart · 1 voice
Mathematics · #math.OC

paper · pdf

arxiv published 2026/01/04 · arxiv updated 2026/06/23

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.

Citations

• Well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation
• Infinite-dimensional observers for high order boundary-controlled port-Hamiltonian systems
• Stabilization of port-Hamiltonian systems by nonlinear boundary control\n in the presence of disturbances
• On Damping Mechanisms in Beams

Discussions

• Boundary control systems on a one-dimension spatial domain - new paper co-authored by #ModConFlex researcher Bouchra Elghazi: The paper studies when mathematical models of flexible structures with con [bsky, 3 points, 0 comments]

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