{
  "id": "0711.3525",
  "version": "v1",
  "published": "2007-11-22T09:09:22.000Z",
  "updated": "2007-11-22T09:09:22.000Z",
  "title": "Towards ISS disturbance attenuation for randomly switched systems",
  "authors": [
    "Debasish Chatterjee",
    "Daniel Liberzon"
  ],
  "comment": "6 pages, to appear in the Proceedings of the 46th IEEE Conference on Decision & Control, 2007",
  "journal": "Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 5612-5617",
  "doi": "10.1109/CDC.2007.4434163",
  "categories": [
    "math.OC"
  ],
  "abstract": "We are concerned with input-to-state stability (ISS) of randomly switched systems. We provide preliminary results dealing with sufficient conditions for stochastic versions of ISS for randomly switched systems without control inputs, and with the aid of universal formulae we design controllers for ISS-disturbance attenuation when control inputs are present. Two types of switching signals are considered: the first is characterized by a statistically slow-switching condition, and the second by a class of semi-Markov processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-22T09:09:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93D21",
      "93E15"
    ],
    "keywords": [
      "randomly switched systems",
      "iss disturbance attenuation",
      "control inputs",
      "input-to-state stability",
      "iss-disturbance attenuation"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3525C"
    }
  }
}