{
  "id": "2103.13017",
  "version": "v1",
  "published": "2021-03-24T06:54:18.000Z",
  "updated": "2021-03-24T06:54:18.000Z",
  "title": "Peak Estimation for Uncertain and Switched Systems",
  "authors": [
    "Jared Miller",
    "Didier Henrion",
    "Mario Sznaier",
    "Milan Korda"
  ],
  "comment": "15 pages, 10 figures",
  "categories": [
    "math.OC",
    "cs.SY",
    "eess.SY"
  ],
  "abstract": "Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with time-independent and time-dependent uncertainty. Techniques from optimal control are used to incorporate uncertainty into an existing occupation measure-based peak estimation framework, which includes special consideration for handling switching uncertainties. The resulting infinite-dimensional linear programs can be solved approximately with Linear Matrix Inequalities arising from the moment-SOS hierarchy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-24T06:54:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "switched systems",
      "peak estimation bounds extreme values",
      "occupation measure-based peak estimation framework",
      "uncertainty",
      "linear matrix inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}