{
  "id": "2007.14081",
  "version": "v1",
  "published": "2020-07-28T09:25:26.000Z",
  "updated": "2020-07-28T09:25:26.000Z",
  "title": "The turnpike with lack of observability",
  "authors": [
    "Dario Pighin",
    "Noboru Sakamoto"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We obtain turnpike results for optimal control problems with lack of stabilizability in the state equation and/or detectability in the state term in the cost functional. We show how, under weakened stabilizability/detectability conditions, terminal conditions may affect turnpike phenomena. Numerical simulations have been performed to illustrate the theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-28T09:25:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93B05",
      "93B07",
      "93D15"
    ],
    "keywords": [
      "observability",
      "optimal control problems",
      "affect turnpike phenomena",
      "state equation",
      "turnpike results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}