{
  "abstract": "We show how to compute the passivity radius of a given generalized state-space model of a rational transfer function that represents a passive system, both in the continuous-time and discrete-time cases. We then use this to construct robust descriptor realizations. For the continuous-time case, these realizations have a port-Hamiltonian descriptor form. For the discrete-time case a similar result holds for the so-called normalized realizations. The computation of such robust realizations is linked in both these cases to a particular solution of a linear matrix inequality that characterizes the passivity of the transfer function.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39465",
  "author_total": 3,
  "authors": [
    {
      "name": "Peter Benner"
    },
    {
      "name": "Anshul Prajapati"
    },
    {
      "name": "Paul Van Dooren"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/74apwcam9q7wz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39465",
  "fulltext_url": null,
  "id": "74apwcam9q7wz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39465",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Control and Stability of Dynamical Systems"
    ]
  ],
  "openalex": "W7215047779",
  "pdf_url": "https://arxiv.org/pdf/2609.39465",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/74apwcam9q7wz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39465",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39465"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Robust forms for passive descriptor systems",
  "title_text": "Robust forms for passive descriptor systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/74apwcam9q7wz",
  "venue": "arXiv",
  "versions": []
}