{
  "id": "2209.04441",
  "version": "v1",
  "published": "2022-09-08T06:50:53.000Z",
  "updated": "2022-09-08T06:50:53.000Z",
  "title": "Stackelberg strategy on a degenerate parabolic equation with missing data",
  "authors": [
    "Landry Djomegne",
    "Cyrille Kenne",
    "Romario Gildas Foko Tiomela"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null controllability with low-regret control. We assume that we can act on the system through a set of hierarchic controls. The main control called the leader is in charge of the null controllability while the second control named the follower solves an optimal control problem involving a missing data. The main novelty of this work is the derivation of a new Carleman inequality for a degenerate system, which is used in a standard way to show observability inequality of the adjoint degenerate systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-08T06:50:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate parabolic equation",
      "stackelberg strategy",
      "missing data",
      "null controllability",
      "hierarchic control"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}