{
  "id": "math/0206191",
  "version": "v1",
  "published": "2002-06-18T23:14:52.000Z",
  "updated": "2002-06-18T23:14:52.000Z",
  "title": "Gradient algorithms for finding common Lyapunov functions",
  "authors": [
    "Daniel Liberzon",
    "Roberto Tempo"
  ],
  "comment": "9 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper is concerned with the problem of finding a quadratic common Lyapunov function for a family of stable linear systems. We present gradient iteration algorithms which give deterministic convergence for finite system families and probabilistic convergence for infinite families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-18T23:14:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93D09",
      "90C25"
    ],
    "keywords": [
      "finding common lyapunov functions",
      "gradient algorithms",
      "quadratic common lyapunov function",
      "finite system families",
      "gradient iteration algorithms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6191L"
    }
  }
}