Boundary control systems on a one-dimension spatial domain

Bouchra Elghazi; Birgit Jacob; Hans Zwart

doi:10.48550/arXiv.2601.01634

Boundary control systems on a one-dimension spatial domain

Bouchra Elghazi
, Birgit Jacob
, Hans Zwart

Mathematical Systems Theory

Research output: Working paper › Preprint › Academic

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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.

Original language	English
Publisher	ArXiv.org
Number of pages	24
DOIs	https://doi.org/10.48550/arXiv.2601.01634
Publication status	Published - 5 Feb 2026

Keywords

math.OC

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Cite this

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Boundary control systems on a one-dimension spatial domain

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