{
  "abstract": "We prove boundary null controllability in any positive time for a finite system of Euler--Bernoulli beams with possibly non-diagonalizable coupling. For $0<ρ<2$, a Fourier--Jordan reduction yields a vector moment problem with polynomial--exponential modes. Under the Fattorini--Hautus condition, global spectral non-collision, and nonvanishing modal transfer factors, a suitably estimated block-biorthogonal family produces an $H^2$ boundary control. Geometric multiplicities of the coupling matrix determine the minimal control dimension, and Jordan-block lengths determine the degrees of the generalized moments. At $ρ=2$, an exact heat-system reduction gives the same result for $A=A^*\\geq0$, despite the time-differential linkage of the reduced boundary inputs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07806",
  "author_total": 2,
  "authors": [
    {
      "name": "Julian Edward"
    },
    {
      "name": "Yacouba Simpore"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aamssr0h4sfr8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07806",
  "fulltext_url": null,
  "id": "aamssr0h4sfr8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07806",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7212049942",
  "pdf_url": "https://arxiv.org/pdf/2609.07806",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aamssr0h4sfr8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.07806",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07806"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Boundary null controllability of weakly coupled structurally damped beams",
  "title_text": "Boundary null controllability of weakly coupled structurally damped beams",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/aamssr0h4sfr8",
  "venue": "arXiv",
  "versions": []
}