{
  "abstract": "We establish conversions in both directions between geometric and descriptor representations of linear port-Hamiltonian systems on infinite-dimensional Hilbert spaces. For the geometric-to-descriptor conversion, we represent the possibly multivalued inverse Dirac relation by a skew-adjoint operator on enlarged Hilbert spaces, retaining the original operator-domain restrictions. The construction accommodates internal and external ports. We show that the conversions preserve trajectories and the power balance. An incompressible Kelvin--Voigt solid illustrates the results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06080",
  "author_total": 2,
  "authors": [
    {
      "name": "Anna Fischer"
    },
    {
      "name": "Timo Reis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bfdk4jfqszcrt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06080",
  "fulltext_url": null,
  "id": "bfdk4jfqszcrt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06080",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06080",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bfdk4jfqszcrt.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06080",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06080"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Descriptor representations of geometric port-Hamiltonian systems on Hilbert spaces",
  "title_text": "Descriptor representations of geometric port-Hamiltonian systems on Hilbert spaces",
  "type": "preprint",
  "updated_at": "2026-11-07T18:20:08Z",
  "url": "https://research.draconitic.com/paper/bfdk4jfqszcrt",
  "venue": "arXiv",
  "versions": []
}