{
  "id": "1311.4031",
  "version": "v2",
  "published": "2013-11-16T07:36:37.000Z",
  "updated": "2014-03-19T14:04:51.000Z",
  "title": "Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right",
  "authors": [
    "Jean-Michel Coron",
    "Qi Lü"
  ],
  "comment": "45 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper is devoted to the study of the rapid exponential stabilization problem for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet boundary conditions and Neumann boundary control at the right endpoint of the interval. For every noncritical length, we build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach relies on the construction of a suitable integral transform.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-19T14:04:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann boundary control",
      "local rapid stabilization",
      "rapid exponential stabilization problem",
      "homogeneous dirichlet boundary conditions",
      "feedback control law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1265293,
      "adsabs": "2013arXiv1311.4031C"
    }
  }
}