Boundary control systems on a one-dimension spatial domain
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917250449014784 |
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| author | Elghazi, Bouchra Jacob, Birgit Zwart, Hans |
| author_facet | Elghazi, Bouchra Jacob, Birgit Zwart, Hans |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01634 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boundary control systems on a one-dimension spatial domain Elghazi, Bouchra Jacob, Birgit Zwart, Hans Optimization and Control 47D06, 49K40, 35F05, 93B52 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. |
| title | Boundary control systems on a one-dimension spatial domain |
| topic | Optimization and Control 47D06, 49K40, 35F05, 93B52 |
| url | https://arxiv.org/abs/2601.01634 |