{
  "id": "1103.1349",
  "version": "v1",
  "published": "2011-03-07T19:40:27.000Z",
  "updated": "2011-03-07T19:40:27.000Z",
  "title": "On the notion of persistence of excitation for linear switched systems",
  "authors": [
    "Mihaly Petreczky",
    "Laurent Bako"
  ],
  "categories": [
    "math.OC",
    "cs.SY"
  ],
  "abstract": "The paper formulates the concept of persistence of excitation for discrete-time linear switched systems, and provides sufficient conditions for an input signal to be persistently exciting. Persistence of excitation is formulated as a property of the input signal, and it is not tied to any specific identification algorithm. The results of the paper rely on realization theory and on the notion of Markov-parameters for linear switched systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-07T19:40:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93B15",
      "93B20",
      "93B25",
      "93C99"
    ],
    "keywords": [
      "excitation",
      "persistence",
      "input signal",
      "discrete-time linear switched systems",
      "specific identification algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.1349P"
    }
  }
}