{
  "id": "2208.01419",
  "version": "v1",
  "published": "2022-08-02T12:52:27.000Z",
  "updated": "2022-08-02T12:52:27.000Z",
  "title": "Lyapunov criteria for boundedness of reachability sets of distributed parameter systems",
  "authors": [
    "Andrii Mironchenko"
  ],
  "categories": [
    "math.OC",
    "math.DS"
  ],
  "abstract": "We show that boundedness of reachability sets for distributed parameter systems is equivalent to existence of a corresponding Lyapunov function, that increases at most exponentially along the trajectories. Next we show a similar characterization for the robust forward completeness property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-02T12:52:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distributed parameter systems",
      "reachability sets",
      "lyapunov criteria",
      "boundedness",
      "robust forward completeness property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}