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arXiv · 2601.01634

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

Bouchra Elghazi·Birgit Jacob·Hans Zwart
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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.

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Bouchra Elghazi, Birgit Jacob, Hans Zwart. 2026-01-04. Well-posedness and controllability of hyperbolic boundary control systems on a one-dimensional spatial domain. https://arxiv.org/abs/2601.01634

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