{
  "id": "2105.03490",
  "version": "v1",
  "published": "2021-05-07T20:22:26.000Z",
  "updated": "2021-05-07T20:22:26.000Z",
  "title": "Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling",
  "authors": [
    "Tan H. Cao",
    "Nathalie T. Khalil",
    "Boris S. Mordukhovich",
    "Dao Nguyen",
    "Trang Nguyen",
    "Fernando Lobo Pereira"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish necessary optimality conditions for discrete optimal solutions and then show how these optimality conditions are applied to solving a controlled marine surface vehicle model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-07T20:22:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "controlled free-time sweeping processes",
      "applications",
      "controlled marine surface vehicle model",
      "free-time optimal control problem",
      "optimality conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}