{
  "abstract": "This technical note examines exponential stability of the null solution to a large class of compartmental systems governed by ordinary differential equations. Sufficient conditions under which these systems admit a linear Lyapunov function are provided. The coefficients of the Lyapunov functions and the exponential decay rate they yield are obtained from an eigenvalue problem. For a special case of the system class considered, we derive an equivalence between attractivity of the null solution and the existence of a linear Lyapunov function.",
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  "author_total": 6,
  "authors": [
    {
      "name": "Sondre Wiersdalen"
    },
    {
      "name": "Mike Pereira"
    },
    {
      "name": "Annika Lang"
    },
    {
      "name": "Gabor Szederkényi"
    },
    {
      "name": "Jean Auriol"
    },
    {
      "name": "Balazs Kulcsar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7kf6jp63sb8hg.bib",
  "cited_by": 0,
  "doi": "10.1109/tac.2026.3708062",
  "fulltext_url": null,
  "id": "7kf6jp63sb8hg",
  "issns": [
    "0018-9286"
  ],
  "landing_url": "https://hal.science/hal-05781977v1",
  "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": [
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      "2207|Control and Stability of Dynamical Systems"
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  "openalex": "W4389984231",
  "pdf_url": "https://hal.science/hal-05781977/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-26",
  "publisher": "Institute of Electrical and Electronics Engineers",
  "ris": "https://research.draconitic.com/paper/7kf6jp63sb8hg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:49Z",
      "native_id": "hal-05781977",
      "source": "hal",
      "url": "https://hal.science/hal-05781977v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Linear Lyapunov Functions for Nonlinear Compartmental Systems",
  "title_text": "Linear Lyapunov Functions for Nonlinear Compartmental Systems",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:49Z",
  "url": "https://research.draconitic.com/paper/7kf6jp63sb8hg",
  "venue": "IEEE Transactions on Automatic Control",
  "versions": []
}