{
  "id": "1702.07421",
  "version": "v1",
  "published": "2017-02-23T23:21:19.000Z",
  "updated": "2017-02-23T23:21:19.000Z",
  "title": "Contraction Analysis of Nonlinear DAE Systems",
  "authors": [
    "Hung D. Nguyen",
    "Thanh Long Vu",
    "Jean-Jacques Slotine",
    "Konstantin Turitsyn"
  ],
  "comment": "9 pages, 3 figures, submitted to TAC",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper studies the contraction properties of nonlinear differential-algebraic equation (DAE) systems. Specifically we develop scalable techniques for constructing the attraction regions associated with a particular stable equilibrium, by establishing the relation between the contraction rates of the original systems and the corresponding virtual extended systems. We show that for a contracting DAE system, the reduced system always contracts faster than the extended ones; furthermore, there always exists an extension with contraction rate arbitrarily close to that of the original system. The proposed construction technique is illustrated with a power system example in the context of transient stability assessment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-23T23:21:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear dae systems",
      "contraction analysis",
      "original system",
      "power system example",
      "contraction rate arbitrarily close"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}