{
  "abstract": "In this paper, we formulate a two-player zero-sum game under dynamic constraints defined in terms of a hybrid inclusion. The game consists of a min-max problem involving a cost functional that depends on the actions and corresponding (potentially non-unique) solutions, defined as functions of hybrid time and, hence, can flow or jump. We present sufficient conditions given in terms of Hamilton-Jacobi-Isaacs-like equations to establish a bound and to exactly evaluate the worst-case cost under the optimal strategy. Under additional conditions, we show that the proposed optimal state-feedback laws render a set of interest pre-asymptotically stable for the resulting hybrid closed-loop system. The results are illustrated in an application with sporadic jumps and linear quadratic hybrid dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04999",
  "author_total": 3,
  "authors": [
    {
      "name": "Santiago J. Leudo"
    },
    {
      "name": "Francesco Ferrante"
    },
    {
      "name": "Ricardo G. Sanfelice"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/896njgt3njmj2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04999",
  "fulltext_url": null,
  "id": "896njgt3njmj2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04999",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04999",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/896njgt3njmj2.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04999",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04999"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Two-Player Zero-Sum Hybrid Games with Set-Valued Dynamics",
  "title_text": "Two-Player Zero-Sum Hybrid Games with Set-Valued Dynamics",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/896njgt3njmj2",
  "venue": "arXiv",
  "versions": []
}