{
  "id": "1804.06937",
  "version": "v1",
  "published": "2018-04-18T22:30:06.000Z",
  "updated": "2018-04-18T22:30:06.000Z",
  "title": "A sufficient optimality condition for non-linear delayed optimal control problems",
  "authors": [
    "Ana P. Lemos-Paiao",
    "Cristiana J. Silva",
    "Delfim F. M. Torres"
  ],
  "comment": "This is a preprint of a paper whose final and definite form is with 'Pure and Applied Functional Analysis', ISSN 2189-3756 (print), ISSN 2189-3764 (online). Submitted 10-Dec-2017; revised 18-April-2018; accepted for publication 18-April-2018",
  "categories": [
    "math.OC"
  ],
  "abstract": "We prove a sufficient optimality condition for non-linear optimal control problems with delays in both state and control variables. Our result requires the verification of a Hamilton-Jacobi partial differential equation and is obtained through a transformation that allow us to rewrite a delayed optimal control problem as an equivalent non-delayed one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-18T22:30:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K15",
      "49L99"
    ],
    "keywords": [
      "non-linear delayed optimal control problems",
      "sufficient optimality condition",
      "non-linear optimal control problems",
      "hamilton-jacobi partial differential equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}