{
  "abstract": "We develop a data-driven framework for nonlinear port-Hamiltonian (pH) systems based on interpolation conditions to characterize consistency between observed data and structured dynamical models. Specifically, we derive necessary and sufficient conditions for the existence of a pH system with a smooth (convex) Hamiltonian instantly consistent with a given dataset, without requiring explicit parametrization. We further provide a semidefinite programming formulation to verify consistency with non-degenerate interconnection and dissipation structures. Our results provide a principled approach to assess instant data consistency with physical structure and pave the way for control design directly from data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.31092",
  "author_total": 3,
  "authors": [
    {
      "name": "Martina Vanelli"
    },
    {
      "name": "Nima Monshizadeh"
    },
    {
      "name": "Julien M. Hendrickx"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3p13p2af0k08n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.31092",
  "fulltext_url": null,
  "id": "3p13p2af0k08n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.31092",
  "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",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Control and Stability of Dynamical Systems"
    ]
  ],
  "openalex": "W7204960927",
  "pdf_url": "https://arxiv.org/pdf/2608.31092",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3p13p2af0k08n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.31092",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.31092"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Interpolation Conditions for Instant Data Consistency with Port-Hamiltonian Structure",
  "title_text": "Interpolation Conditions for Instant Data Consistency with Port-Hamiltonian Structure",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/3p13p2af0k08n",
  "venue": "arXiv",
  "versions": []
}