{
  "id": "1809.09920",
  "version": "v1",
  "published": "2018-09-26T11:46:24.000Z",
  "updated": "2018-09-26T11:46:24.000Z",
  "title": "Optimal control problems with control complementarity constraints",
  "authors": [
    "Christian Clason",
    "Yu Deng",
    "Patrick Mehlitz",
    "Uwe Prüfert"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "A special class of optimal control problems with complementarity constraints on the control functions is studied. It is shown that such problems possess optimal solutions whenever the underlying control space is a first-order Sobolev space. After deriving necessary optimality conditions of strong stationarity-type, a penalty method based on the Fischer-Burmeister function is suggested and its theoretical properties are analyzed. Finally, the numerical treatment of the problem is discussed and results of computational experiments are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-26T11:46:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J20",
      "49K20",
      "49M05",
      "49M25",
      "90C48"
    ],
    "keywords": [
      "optimal control problems",
      "control complementarity constraints",
      "problems possess optimal solutions",
      "first-order sobolev space",
      "deriving necessary optimality conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}