{
  "abstract": "This letter introduces an accelerated safe gradient flow (A-SGF) for strongly convex constrained optimization problems. The A-SGF filters a nominal second-order accelerated flow through a second-order control barrier function quadratic program. We establish conditions for strict feasibility and local Lipschitz continuity of the resulting vector field, prove forward invariance of a lifted safe set, and show that its unique equilibrium is the constrained minimizer. A variational Lyapunov analysis isolates the effect of the safety correction and gives explicit conditions on the barrier gains under which A-SGF retains the same convergence rate as the unconstrained Nesterov accelerated method. A nonlinear 2D example demonstrate anytime feasibility and faster convergence of the algorithm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02433",
  "author_total": 2,
  "authors": [
    {
      "name": "Xuting Gao"
    },
    {
      "name": "Sonia Martínez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bn189ekwb2rzn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02433",
  "fulltext_url": null,
  "id": "bn189ekwb2rzn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02433",
  "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",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "1703|Optimization and Variational Analysis"
    ]
  ],
  "openalex": "W7220422027",
  "pdf_url": "https://arxiv.org/pdf/2610.02433",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bn189ekwb2rzn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.02433",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02433"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Accelerated Safe Gradient Flow",
  "title_text": "Accelerated Safe Gradient Flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/bn189ekwb2rzn",
  "venue": "arXiv",
  "versions": []
}