{
  "id": "1008.1020",
  "version": "v1",
  "published": "2010-08-05T16:46:41.000Z",
  "updated": "2010-08-05T16:46:41.000Z",
  "title": "Second-Order Necessary/Sufficient Conditions for Optimal Control Problems in the Absence of Linear Structure",
  "authors": [
    "Hongwei Lou"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "Second-order necessary conditions for optimal control problems are considered, where the ``second-order\" is in the sense of that Pontryagin's maximum principle is viewed as a first-order necessary optimality condition. A sufficient condition for a local minimizer is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-05T16:46:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K15",
      "34H05"
    ],
    "keywords": [
      "optimal control problems",
      "second-order necessary/sufficient conditions",
      "linear structure",
      "first-order necessary optimality condition",
      "second-order necessary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1020L"
    }
  }
}