{
  "id": "2004.14575",
  "version": "v1",
  "published": "2020-04-30T03:56:33.000Z",
  "updated": "2020-04-30T03:56:33.000Z",
  "title": "The turnpike property in the maximum hands-off control",
  "authors": [
    "Noboru Sakamoto",
    "Masaaki Nagahara"
  ],
  "comment": "Submitted for IEEE Conference on Decision and Control 2020",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper presents analyses for the maximum hands-off control using the geometric methods developed for the theory of turnpike in optimal control. First, a sufficient condition is proved for the existence of the maximum hands-off control for linear time-invariant systems with arbitrarily fixed initial and terminal points using the relation with $L^1$ optimal control. Next, a sufficient condition is derived for the maximum hands-off control to have the turnpike property, which may be useful for approximate design of the control.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-30T03:56:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximum hands-off control",
      "turnpike property",
      "sufficient condition",
      "optimal control",
      "linear time-invariant systems"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}