{
  "abstract": "The study of bounded-input bounded-output (BIBO) stability of infinite-dimensional systems gives rise to difficulties that do not occur in the classical finite-dimensional setting. In this paper, we resolve several questions concerning the definition and characterisation of BIBO stability in the framework of system nodes. In particular, we show that $\\mathrm C^\\infty$-BIBO stability need not imply $L^\\infty$-BIBO stability in general, but that the two notions are equivalent when the output space is reflexive. Furthermore, we investigate to what extent classical results extend to the infinite-dimensional setting, including the relation between BIBO stability and exponential stability under controllability and observability assumptions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27138",
  "author_total": 2,
  "authors": [
    {
      "name": "Sahiba Arora"
    },
    {
      "name": "Alexander A. Wierzba"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/crypbk430169k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27138",
  "fulltext_url": null,
  "id": "crypbk430169k",
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  "landing_url": "https://arxiv.org/abs/2610.27138",
  "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",
      "math.FA"
    ],
    [
      "arxiv",
      "math.OC"
    ],
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      "openalex",
      "2207|Stability and Controllability of Differential Equations"
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  "openalex": "W7223143946",
  "pdf_url": "https://arxiv.org/pdf/2610.27138",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/crypbk430169k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.27138",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27138"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "BIBO stability in infinite dimensions: extensions and limitations of finite-dimensional theory",
  "title_text": "BIBO stability in infinite dimensions: extensions and limitations of finite-dimensional theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/crypbk430169k",
  "venue": "arXiv",
  "versions": []
}