{
  "id": "1305.2036",
  "version": "v1",
  "published": "2013-05-09T08:57:31.000Z",
  "updated": "2013-05-09T08:57:31.000Z",
  "title": "On exponential stability for linear discrete-time systems in Banach spaces",
  "authors": [
    "Ioan-Lucian Popa",
    "Traian Ceausu",
    "Mihail Megan"
  ],
  "comment": "Computers & Mathematics with Applications, accepted for publication",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we investigate four concepts of exponential stability for difference equations in Banach spaces. Characterizations of these concepts are given. They can be considered as variants for the discrete-time case of the classical results due to E.A. Barbashin [2] and R. Datko [5]. An illustrative example clarifies the relations between these concepts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-09T08:57:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A11",
      "34D05"
    ],
    "keywords": [
      "linear discrete-time systems",
      "exponential stability",
      "banach spaces",
      "difference equations",
      "illustrative example clarifies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2036P"
    }
  }
}