{
  "abstract": "We study an inverse optimal-control problem for identifying nonnegative weights in a convex-feature lower-level objective. The resulting model is an optimistic bilevel optimal-control problem whose lower level is a strongly convex, linearly constrained control problem with box constraints in \\(L^2\\). For the reduced response map \\(x\\mapsto (y_x,u_x)\\), we prove global single-valuedness and an explicit Lipschitz estimate, without assuming differentiability of active sets. Exploiting the affine dependence of the lower-level functional on \\(x\\), we show that the value function is concave and Lipschitz and derive an asymptotically exact optimal-value relaxation. We further establish local identifiability and \\(O(δ)\\) noise stability by a gradient-free argument based on second-order growth. Finally, a KKT reformulation yields a function-space MPCC; Scholtes relaxation gives C-stationarity under uniform multiplier boundedness. A decoupled scalar example provides an explicit strict-complementarity certificate via finiteness of threshold contacts.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00033",
  "author_total": 2,
  "authors": [
    {
      "name": "Jiguang Yu"
    },
    {
      "name": "Louis Shuo Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2w10sm1gp7crp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00033",
  "fulltext_url": null,
  "id": "2w10sm1gp7crp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00033",
  "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.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.00033",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2w10sm1gp7crp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.00033",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00033"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Inverse Optimal Control with Convex Features and Box Constraints",
  "title_text": "Inverse Optimal Control with Convex Features and Box Constraints",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/2w10sm1gp7crp",
  "venue": "arXiv",
  "versions": []
}