{
  "abstract": "Data-driven reduced-order modeling is an essential component in the computer-aided design of control systems. In this work, we present a novel symmetric Hermite formulation of the quadrature-based balanced truncation algorithm that constructs linear reduced-order models from evaluations of the full-order system's transfer function and its derivative. Significantly, the Hermite formulation preserves desirable qualitative properties of the system used to generate the data, such as state-space Hermiticity and, consequently, asymptotic stability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Proc. Appl. Math. Mech., 26(4):e70191, 2026",
  "arxiv": "2606.00298",
  "author_total": 2,
  "authors": [
    {
      "name": "Sean Reiter"
    },
    {
      "name": "Steffen W. R. Werner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/az1tve6jahwjh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.00298",
  "fulltext_url": null,
  "id": "az1tve6jahwjh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.00298",
  "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.LG"
    ],
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.00298",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/az1tve6jahwjh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2606.00298",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.00298"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Symmetric Hermite quadrature-based balanced truncation for learning linear dynamical systems from derivative data",
  "title_text": "Symmetric Hermite quadrature-based balanced truncation for learning linear dynamical systems from derivative data",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/az1tve6jahwjh",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1002/pamm.70191",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}