{
  "id": "math/0204193",
  "version": "v1",
  "published": "2002-04-15T11:53:20.000Z",
  "updated": "2002-04-15T11:53:20.000Z",
  "title": "Fractional-Order State Space Models",
  "authors": [
    "L. Dorcak",
    "I. Petras",
    "I. Kostial",
    "J. Terpak"
  ],
  "comment": "PDF Version 1.3, 6 pages, 2 figures",
  "journal": "Proceedings of 3rd ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 193 - 198, ISBN 80-248-0089-6",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we will present some alternative types of mathematical description and methods of solution of the fractional-order dynamical system in the state space. We point out the difference in the true sense of the name \"state\" space for the integer-order and fractional-order system and the importance of the initialization function for the fractional-order system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-15T11:53:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "93C55",
      "65D25",
      "93C05"
    ],
    "keywords": [
      "fractional-order state space models",
      "state feedback control theory",
      "fractional-order system",
      "initialization function",
      "true sense"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4193D"
    }
  }
}