{"ID":2822944,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2601.01634","arxiv_id":"2601.01634","title":"Boundary control systems on a one-dimension spatial domain","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.","short_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 obse...","url_abs":"https://arxiv.org/abs/2601.01634","url_pdf":"https://arxiv.org/pdf/2601.01634v3","authors":"[\"Bouchra Elghazi\",\"Birgit Jacob\",\"Hans Zwart\"]","published":"2026-01-04T18:32:25Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}