{
  "abstract": "This paper addresses the problem of semi-global exact prescribed-time stabilization of linear systems by bounded controls. To solve such a problem, one needs to construct a parameterized quadratic control Lyapunov function whose corresponding level set can be made arbitrarily large (for achieving semi-global stabilization) and such that the real parts of the poles of the closed-loop system approach minus infinity as the parameter approaches infinity (for achieving prescribed-time stabilization). This objective is achieved by proposing a nested parametric Lyapunov equation (PLE)-based approach, through which only two linear matrix equations need to be solved in the controller design stage without using real-time state information. Under the proposed structural condition, the nested PLE-based approach guarantees semi-global exact prescribed-time stabilization for any prescribed bounded set of initial conditions, provided that the prescribed settling time is sufficiently large. A numerical example is provided to demonstrate the effectiveness of the designed controller.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07281",
  "author_total": 2,
  "authors": [
    {
      "name": "Qinyu Xie"
    },
    {
      "name": "Bin Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/154trztpbase7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07281",
  "fulltext_url": null,
  "id": "154trztpbase7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07281",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2207|Adaptive Control of Nonlinear Systems"
    ]
  ],
  "openalex": "W7212038646",
  "pdf_url": "https://arxiv.org/pdf/2609.07281",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/154trztpbase7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.07281",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07281"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Semi-global exact prescribed-time stabilization of linear systems by bounded linear time-varying feedback",
  "title_text": "Semi-global exact prescribed-time stabilization of linear systems by bounded linear time-varying feedback",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/154trztpbase7",
  "venue": "arXiv",
  "versions": []
}