{
  "id": "2001.01636",
  "version": "v1",
  "published": "2020-01-06T15:54:35.000Z",
  "updated": "2020-01-06T15:54:35.000Z",
  "title": "Remarks on input-to-state stability of collocated systems with saturated feedback",
  "authors": [
    "Birgit Jacob",
    "Felix L. Schwenninger",
    "Lukas A. Vorberg"
  ],
  "comment": "12 pages, submitted to Mathematics of Control, Signals, and Systems",
  "categories": [
    "math.OC",
    "math.AP",
    "math.FA"
  ],
  "abstract": "We investigate input-to-state stability of infnite-dimensional collocated control systems subject to saturated feedback where the unsaturated closed loop system is dissipative and uniformly globally asymptotically stable. We review recent results from the literature and explore limitations thereof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-06T15:54:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37L15",
      "93D20",
      "93C20",
      "93C10"
    ],
    "keywords": [
      "input-to-state stability",
      "saturated feedback",
      "collocated systems",
      "infnite-dimensional collocated control systems subject",
      "unsaturated closed loop system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}