{
  "id": "1412.2679",
  "version": "v1",
  "published": "2014-12-08T17:50:44.000Z",
  "updated": "2014-12-08T17:50:44.000Z",
  "title": "Hamilton-Jacobi equations for optimal control on multidimensional junctions",
  "authors": [
    "Salomé Oudet"
  ],
  "comment": "37 pages and 2 figure. Verify that citations appear correctly on the PDF. For now it is not the case",
  "categories": [
    "math.OC"
  ],
  "abstract": "We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a union of half-planes which share a common straight line. This set will be named a junction. We define a notion of constrained viscosity solution of Hamilton-Jacobi equations on the junction and we propose a comparison principle whose proof is based on arguments from the optimal control theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-08T17:50:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton-jacobi equations",
      "multidimensional junctions",
      "optimal control theory",
      "continuous-time control problems",
      "common straight line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.2679O"
    }
  }
}