{
  "id": "1908.00934",
  "version": "v1",
  "published": "2019-08-02T16:11:25.000Z",
  "updated": "2019-08-02T16:11:25.000Z",
  "title": "A General Class of Control Lyapunov Functions and Sampled-Data Stabilization",
  "authors": [
    "Katerina Chrysafi",
    "John Tsinias"
  ],
  "comment": "7 pages, submitted to IEEE Transactions on Automatic Control for possible publication",
  "categories": [
    "math.OC"
  ],
  "abstract": "The present work extends recent results by second author concerning sampled-data feedback stabilization for affine in the control of nonlinear systems with nonzero drift term, under the presence of a generalized control Lyapunov function associated with appropriate Lie algebraic hypotheses concerning the dynamics of the system. The main results of present work, constitute a generalization of the well-known \"Artstein-Sontag\" theorem on asymptotic stabilization by means of an almost smooth feedback controller. The analysis is limited to the affine single-input nonlinear systems with nonzero drift term, however, the results can easily be extended to the multi-input case. An illustrative example of the derived results is included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-02T16:11:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "control lyapunov function",
      "general class",
      "sampled-data stabilization",
      "author concerning sampled-data feedback",
      "concerning sampled-data feedback stabilization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}