{
  "abstract": "Sufficient conditions for global boundedness of solutions of state-periodic systems are given. The results are grounded on the existence of a Leonov function. In contrast to previous works using a similar approach, our results are established by exploiting the invariance property of particular cells in the state space, rather than their attractivity. This novel approach substantially simplifies the requirements of Leonov functions for both fully and partially periodic systems. The effectiveness of the proposed conditions is illustrated on a heterogeneous network of Kuramoto oscillators and on a synchronous generator connected to an infinite bus.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Marcel Fang"
    },
    {
      "name": "Denis Efimov"
    },
    {
      "name": "Mohammad Javad Mirzaei"
    },
    {
      "name": "Johannes Schiffer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f4vdk7gx7zahp.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "f4vdk7gx7zahp",
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  "landing_url": "https://inria.hal.science/hal-05856522v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
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      "hal",
      "1.math.math-ds"
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  "openalex": null,
  "pdf_url": "https://inria.hal.science/hal-05856522/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f4vdk7gx7zahp.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:20:29Z",
      "native_id": "hal-05856522",
      "source": "hal",
      "url": "https://inria.hal.science/hal-05856522v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ds",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Refinement of the Leonov Function Framework for Global Boundedness of State-Periodic Systems",
  "title_text": "Refinement of the Leonov Function Framework for Global Boundedness of State-Periodic Systems",
  "type": "preprint",
  "updated_at": "2026-11-09T12:20:29Z",
  "url": "https://research.draconitic.com/paper/f4vdk7gx7zahp",
  "venue": "HAL",
  "versions": []
}