{
  "id": "1509.05868",
  "version": "v1",
  "published": "2015-09-19T10:31:15.000Z",
  "updated": "2015-09-19T10:31:15.000Z",
  "title": "Representation and Factorization of Discrete-Time Rational All-Pass Functions",
  "authors": [
    "Augusto Ferrante",
    "Giorgio Picci"
  ],
  "categories": [
    "math.OC",
    "math.DS"
  ],
  "abstract": "We obtain a general characterization of discrete-time all-pass rational matrix functions from state-space representations. It can be employed to address model reduction problems in the same vein of the theory developed by Glover in the continuous-time. Besides model reduction, this characterization is shown to be useful in a variety of contexts such as studying LMI's and Riccati equations and especially in the factorization of all-pass functions. The results are obtained in the most general setting, without introducing any {\\em ad hoc} assumption.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-19T10:31:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete-time rational all-pass functions",
      "representation",
      "discrete-time all-pass rational matrix functions",
      "factorization",
      "address model reduction problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150905868F"
    }
  }
}