{
  "id": "1908.10150",
  "version": "v1",
  "published": "2019-08-27T11:55:51.000Z",
  "updated": "2019-08-27T11:55:51.000Z",
  "title": "Sparse solutions of optimal control via Newton method for under-determined systems",
  "authors": [
    "Boris Polyak",
    "Andrey Tremba"
  ],
  "comment": "Author version with errata after (15) at page 6 (missing formula for $\\bar{v}$ is restored). J Glob Optim (2019)",
  "doi": "10.1007/s10898-019-00784-z",
  "categories": [
    "math.OC"
  ],
  "abstract": "We focus on finding sparse and least-$\\ell_1$-norm solutions for unconstrained nonlinear optimal control problems. Such optimization problems are non-convex and non-smooth, nevertheless recent versions of Newton method for under-determined equations can be applied successively for such problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-27T11:55:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49M15",
      "65H10",
      "49J30"
    ],
    "keywords": [
      "newton method",
      "sparse solutions",
      "under-determined systems",
      "unconstrained nonlinear optimal control problems",
      "optimization problems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}