{
  "id": "1901.04340",
  "version": "v1",
  "published": "2019-01-14T14:18:29.000Z",
  "updated": "2019-01-14T14:18:29.000Z",
  "title": "A sufficient optimality condition for delayed state-linear 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 'Discrete and Continuous Dynamical Systems -- Series B' (DCDS-B), ISSN 1531-3492, eISSN 1553-524X, available at [http://www.aimsciences.org/journal/1531-3492]. Paper Submitted 31/Dec/2017; Revised 13/April/2018; Accepted 11/Jan/2019",
  "categories": [
    "math.OC"
  ],
  "abstract": "We give answer to an open question by proving a sufficient optimality condition for state-linear optimal control problems with time delays in state and control variables. In the proof of our main result, we transform a delayed state-linear optimal control problem to an equivalent non-delayed problem. This allows us to use a well-known theorem that ensures a sufficient optimality condition for non-delayed state-linear optimal control problems. An example is given in order to illustrate the obtained result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-14T14:18:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K15",
      "34H99"
    ],
    "keywords": [
      "sufficient optimality condition",
      "non-delayed state-linear optimal control problems",
      "main result",
      "control variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}