{
  "id": "1804.11320",
  "version": "v1",
  "published": "2018-04-30T16:48:39.000Z",
  "updated": "2018-04-30T16:48:39.000Z",
  "title": "Non-smooth optimization for robust control of infinite-dimensional systems",
  "authors": [
    "P. Apkarian",
    "D. Noll",
    "L. Ravanbod"
  ],
  "comment": "Set-Valued and Variational Analysis, 2018",
  "doi": "10.1007/s11228-017-0453-4",
  "categories": [
    "math.OC"
  ],
  "abstract": "We use a non-smooth trust-region method for $H_\\infty$-control of infinite-dimensional systems. Our method applies in particular to distributed and boundary control of partial differential equations. It is computationally attractive as it avoids the use of system reduction or identification. For illustration the method is applied to control a reaction-convection-diffusion system, a Van de Vusse reactor, and to a cavity flow control problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-30T16:48:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C56",
      "49J52",
      "93C80",
      "93C20"
    ],
    "keywords": [
      "infinite-dimensional systems",
      "robust control",
      "non-smooth optimization",
      "cavity flow control problem",
      "non-smooth trust-region method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}