{
  "abstract": "Controller design for physical systems directly from data is of tremendous interest in both the industry and academia. However, the research on direct data-driven control has thus far mainly focused on discrete-time linear time-invariant systems. To make the highly non-trivial step to continuous-time nonlinear systems, this paper explores an intermediate route through the framework of linear parameter-varying (LPV) systems. LPV systems can be used as a convenient surrogate for nonlinear systems to achieve systematic analysis and controller design. In this work, we generalize the LPV Fundamental Lemma for discrete-time systems towards a class of continuous-time LPV systems, achieving data-driven representations that can be used to design continuous-time LPV controllers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07241",
  "author_total": 2,
  "authors": [
    {
      "name": "Philipp Schmitz"
    },
    {
      "name": "Chris Verhoek"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/61bnpmxfy5kq9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07241",
  "fulltext_url": null,
  "id": "61bnpmxfy5kq9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07241",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Control Systems and Identification"
    ]
  ],
  "openalex": "W7212009833",
  "pdf_url": "https://arxiv.org/pdf/2609.07241",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/61bnpmxfy5kq9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.07241",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07241"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "A Continuous-Time Generalization of the LPV Fundamental Lemma",
  "title_text": "A Continuous-Time Generalization of the LPV Fundamental Lemma",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/61bnpmxfy5kq9",
  "venue": "arXiv",
  "versions": []
}