{
  "id": "1702.07505",
  "version": "v1",
  "published": "2017-02-24T09:19:19.000Z",
  "updated": "2017-02-24T09:19:19.000Z",
  "title": "A convex penalty for switching control of partial differential equations",
  "authors": [
    "Christian Clason",
    "Armin Rund",
    "Karl Kunisch",
    "Richard C. Barnard"
  ],
  "journal": "Systems & Control Letters 89 (2016), 66-73",
  "doi": "10.1016/j.sysconle.2015.12.013",
  "categories": [
    "math.OC"
  ],
  "abstract": "A convex penalty for promoting switching controls for partial differential equations is introduced; such controls consist of an arbitrary number of components of which at most one should be simultaneously active. Using a Moreau-Yosida approximation, a family of approximating problems is obtained that is amenable to solution by a semismooth Newton method. The efficiency of this approach and the structure of the obtained controls are demonstrated by numerical examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-24T09:19:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial differential equations",
      "convex penalty",
      "switching control",
      "semismooth newton method",
      "controls consist"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}