{
  "id": "1802.09242",
  "version": "v1",
  "published": "2018-02-26T10:50:53.000Z",
  "updated": "2018-02-26T10:50:53.000Z",
  "title": "Second-Order Necessary Conditions for Optimal Control with Recursive Utilities",
  "authors": [
    "Yuchao Dong",
    "Qingxin Meng"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "The necessary conditions for an optimal control of a stochastic control problem with recursive utilities is investigated. The first order condition is the the well-known Pontryagin type maximum principle. When the optimal control satisfying such first-order necessary condition is singular in some sense, certain type of the second-order necessary condition will come in naturally. The aim of this paper is to explore such kind of conditions for our optimal control problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-26T10:50:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second-order necessary condition",
      "optimal control",
      "recursive utilities",
      "well-known pontryagin type maximum principle",
      "stochastic control problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}