{
  "id": "math-ph/0511009",
  "version": "v1",
  "published": "2005-11-03T08:50:12.000Z",
  "updated": "2005-11-03T08:50:12.000Z",
  "title": "A Survey of Lagrangian Mechanics and Control on Lie algebroids and groupoids",
  "authors": [
    "Jorge Cortes",
    "Manuel de Leon",
    "Juan C. Marrero",
    "D. Martin de Diego",
    "Eduardo Martinez"
  ],
  "comment": "41 pages, Survey",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics on Lie algebroids. The flexibility of the Lie algebroid formalism allows us to analyze systems subject to nonholonomic constraints, mechanical control systems, Discrete Mechanics and extensions to Classical Field Theory within a single framework. Various examples along the discussion illustrate the soundness of the approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-03T08:50:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B66",
      "22A22",
      "70F25",
      "70G45",
      "70G65",
      "70H03",
      "70H05"
    ],
    "keywords": [
      "lagrangian mechanics",
      "lie algebroid formalism",
      "analyze systems subject",
      "discussion illustrate",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph..11009C"
    }
  }
}