{
  "id": "1712.04830",
  "version": "v1",
  "published": "2017-12-13T15:59:58.000Z",
  "updated": "2017-12-13T15:59:58.000Z",
  "title": "Explicit bounds for solutions to optimal control problems",
  "authors": [
    "Miguel Oliveira",
    "Georgi Smirnov"
  ],
  "comment": "13 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we present explicit bounds for optimal control in a Lagrange problem without end-point constraints. The approach we use is due to Gamkrelidze and is based on the equivalence of the Lagrange problem and a time-optimal problem for diferential inclusions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-13T15:59:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J15",
      "49N60"
    ],
    "keywords": [
      "optimal control problems",
      "explicit bounds",
      "lagrange problem",
      "end-point constraints",
      "time-optimal problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}