{
  "id": "math/0007155",
  "version": "v1",
  "published": "2000-07-26T09:31:18.000Z",
  "updated": "2000-07-26T09:31:18.000Z",
  "title": "Modelling and analysis of fractional-order regulated systems in the state space",
  "authors": [
    "L. Dorcak",
    "I. Petras",
    "I. Kostial"
  ],
  "comment": "LaTeX v.2.09, 4 pages, 3 figures",
  "journal": "ICCC'2000 conference, May 23-26, High Tatras, pp.185-188",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we present the mathematical description and analysis of a fractional-order regulated system in the state space. A little historical background of our results in the analysis and synthesis of the fractional-order dynamical regulated systems is given. The methods and results of simulations of the fractional-order system described by a state space equation equivalent to three-member fractional-order differential equation with a fractional-order $PD^{\\delta}$ regulator are then presented. The possibility of investigating the stability of such systems is also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-26T09:31:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33"
    ],
    "keywords": [
      "fractional-order regulated system",
      "state space equation equivalent",
      "three-member fractional-order differential equation",
      "fractional-order dynamical regulated systems",
      "fractional-order system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7155D"
    }
  }
}