{
  "id": "1507.02246",
  "version": "v1",
  "published": "2015-07-08T18:23:13.000Z",
  "updated": "2015-07-08T18:23:13.000Z",
  "title": "An Algorithm for System Identification of a Discrete-Time Polynomial System without Inputs",
  "authors": [
    "Jana Němcová",
    "Mihály Petreczky",
    "Jan H. van Schuppen"
  ],
  "comment": "IFAC Symposium System Identification 2015. The arxiv report is equal to the initial conference submission, except for the last two words of the title",
  "categories": [
    "math.OC"
  ],
  "abstract": "A subalgebraic approximation algorithm is proposed to estimate from a set of time series the parameters of the observer representation of a discrete-time polynomial system without inputs which can generate an approximation of the observed time series. A major step of the algorithm is to construct a set of generators for the polynomial function from the past outputs to the future outputs. For this singular value decompositions and polynomial factorizations are used. An example is provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-08T18:23:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93B30"
    ],
    "keywords": [
      "discrete-time polynomial system",
      "system identification",
      "time series",
      "subalgebraic approximation algorithm",
      "singular value decompositions"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}