{
  "id": "1707.03698",
  "version": "v1",
  "published": "2017-07-12T13:14:17.000Z",
  "updated": "2017-07-12T13:14:17.000Z",
  "title": "Stability for Bang-Bang Control Problems of Partial Differential Equations",
  "authors": [
    "Nguyen Thanh Qui",
    "Daniel Wachsmuth"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we investigate solution stability for control problems of partial differential equations with the cost functional not involving the usual quadratic term for the control. We first establish a sufficient optimality condition for the optimal control problems with bang-bang controls. Then we obtain criteria for solution stability for the optimal control problems of bang-bang controls under linear perturbations. We prove H\\\"older stability of optimal controls in $L^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-12T13:14:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K20",
      "49K30",
      "35J61"
    ],
    "keywords": [
      "partial differential equations",
      "bang-bang control problems",
      "optimal control problems",
      "solution stability",
      "usual quadratic term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}