{
  "abstract": "This paper investigates the problem of adaptive boundary observers design for a class of coupled linear ODEhyperbolic PDE systems. The system is subject to source and dynamic boundary disturbances, namely two distinct parametric uncertainties, which affect both the PDE domain equations and the coupled ODE equations. Utilizing two swapping transformations, we introduce Luenberger-type boundary observers with a parameter adaptive law. These observers efficiently estimate the ODE-PDE states and unknown parameters simultaneously, relying solely on measurements at the boundaries of the PDE side. By employing the Lyapunov technique, we derive sufficient conditions in terms of matrix inequalities for the constant observer gain to ensure the exponential convergence of the estimation errors with respect to suitable norms. Finally, we illustrate the effectiveness of the adaptive boundary observer scheme through a numerical example.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Jiahao Wu"
    },
    {
      "name": "Emmanuelle Crépeau"
    },
    {
      "name": "Christophe Prieur"
    },
    {
      "name": "Liguo Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/356cb4wvw80hn.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "356cb4wvw80hn",
  "issns": [],
  "landing_url": "https://hal.science/hal-05852978v1",
  "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"
    ],
    [
      "hal",
      "1.math.math-oc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05852978/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/356cb4wvw80hn.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:44Z",
      "native_id": "hal-05852978",
      "source": "hal",
      "url": "https://hal.science/hal-05852978v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-oc",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Observing hyperbolic systems with source and dynamic boundary disturbances",
  "title_text": "Observing hyperbolic systems with source and dynamic boundary disturbances",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:25Z",
  "url": "https://research.draconitic.com/paper/356cb4wvw80hn",
  "venue": "HAL",
  "versions": []
}