{
  "abstract": "In this paper, we consider linear stochastic systems with control-linear noise and periodically sampled measurements. We address the problem of feedback stabilization in the mean-square sense. The main contribution of the paper is to provide a necessary and sufficient condition for feedback stabilization. In particular, we relate feedback stabilizability of the stochastic system to the existence of a fixed point of a Riccati-type algebraic equation and, further, to the existence of a solution to an infinite-horizon optimal control problem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30438",
  "author_total": 2,
  "authors": [
    {
      "name": "Cynthia Cheng"
    },
    {
      "name": "Xudong Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dk6bmnmry6bds.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30438",
  "fulltext_url": null,
  "id": "dk6bmnmry6bds",
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  "landing_url": "https://arxiv.org/abs/2609.30438",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
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      "arxiv",
      "eess.SY"
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    [
      "arxiv",
      "math.OC"
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      "openalex",
      "2207|Stability and Control of Uncertain Systems"
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  "openalex": "W7214650020",
  "pdf_url": "https://arxiv.org/pdf/2609.30438",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dk6bmnmry6bds.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30438",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30438"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Feedback Stabilization for Sampled Linear Systems with Control-linear Noise",
  "title_text": "Feedback Stabilization for Sampled Linear Systems with Control-linear Noise",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/dk6bmnmry6bds",
  "venue": "arXiv",
  "versions": []
}