{
  "abstract": "For first-order port-Hamiltonian systems in the dissipative setting considered here, we characterise exponential stability without any further regularity or block-structure assumption on the Hamiltonian density, thus closing a gap persisting in the literature. The proof requires revisiting the computation of the adjoint generator of the port-Hamiltonian semigroup. Finally, we provide both examples and non-examples showcasing the inconclusiveness of known conditions on the Hamiltonian densities necessary for the application of characterisation results in the literature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41326",
  "author_total": 2,
  "authors": [
    {
      "name": "Heinrich Kuettler"
    },
    {
      "name": "Marcus Waurick"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5rzrqejjckbx8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41326",
  "fulltext_url": null,
  "id": "5rzrqejjckbx8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41326",
  "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-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41326",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5rzrqejjckbx8.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.41326",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41326"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Exponential stability of port-Hamiltonian systems with unstructured, measurable Hamiltonian densities",
  "title_text": "Exponential stability of port-Hamiltonian systems with unstructured, measurable Hamiltonian densities",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/5rzrqejjckbx8",
  "venue": "arXiv",
  "versions": []
}