{
  "abstract": "This paper studies optimal control problems governed by an implicit sweeping process with velocity-dependent constraint geometry, where the dynamics are described by a differential inclusion involving the normal cone to a moving convex polyhedral set. Such systems form a challenging class of nonsmooth differential inclusions due to the implicit coupling between the state, velocity, and constraint reaction. To address these difficulties, we use a method of discrete approximations together with tools of variational analysis and generalized differentiation. This approach allows us to derive necessary optimality conditions for local minimizer in discrete-time problems and subsequently pass to the limit to obtain optimality conditions for the original continuous-time system. The obtained results extend existing optimal control theory for sweeping processes to a class of implicit dynamical systems with state-and velocity-dependent constraints.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21384",
  "author_total": 3,
  "authors": [
    {
      "name": "Yen Dang"
    },
    {
      "name": "Boris S. Mordukhovich"
    },
    {
      "name": "Dao Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1yerv47e8katn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21384",
  "fulltext_url": null,
  "id": "1yerv47e8katn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21384",
  "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.CA"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "1703|Optimization and Variational Analysis"
    ]
  ],
  "openalex": "W7222731748",
  "pdf_url": "https://arxiv.org/pdf/2610.21384",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1yerv47e8katn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21384",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21384"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Optimization of a Perturbed Implicit Sweeping Process by Constrained Discontinuous Controls",
  "title_text": "Optimization of a Perturbed Implicit Sweeping Process by Constrained Discontinuous Controls",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/1yerv47e8katn",
  "venue": "arXiv",
  "versions": []
}