{
  "id": "2409.13777",
  "version": "v1",
  "published": "2024-09-19T13:39:22.000Z",
  "updated": "2024-09-19T13:39:22.000Z",
  "title": "$L^q$ approximate controllability frequency criterion for linear difference delay equations with distributed delays",
  "authors": [
    "Sébastien Fueyo"
  ],
  "categories": [
    "math.OC",
    "math.DS"
  ],
  "abstract": "Based on an algebraic point of view and the realization theory developed by Y. Yamamoto, the present paper states a necessary and sufficient criterion, given in the frequency domain, for the $L^q$ approximate controllability in finite time of linear difference delay equations with distributed delays. Furthermore, an upper bound for the minimal time of the $L^q$ approximate controllability is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-19T13:39:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear difference delay equations",
      "approximate controllability frequency criterion",
      "distributed delays",
      "upper bound",
      "minimal time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}