{
  "id": "2009.03819",
  "version": "v1",
  "published": "2020-09-08T15:26:50.000Z",
  "updated": "2020-09-08T15:26:50.000Z",
  "title": "CLF-Based Control for Hybrid Dynamical Systems",
  "authors": [
    "Ricardo Sanfelice"
  ],
  "comment": "Report version of IEEE CDC 2013 paper",
  "categories": [
    "math.OC"
  ],
  "abstract": "Pointwise minimum norm control laws for hybrid dynamical systems are proposed. Hybrid systems are given by differential equations capturing the continuous dynamics or flows, and by difference equations capturing the discrete dynamics or jumps. The proposed control laws are defined as the pointwise minimum norm selection from the set of inputs guaranteeing a decrease of a control Lyapunov function. The cases of individual and common inputs during flows and jumps, as well as when inputs enter through one of the system dynamics, are considered. Examples illustrate the results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-08T15:26:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hybrid dynamical systems",
      "clf-based control",
      "pointwise minimum norm control laws",
      "pointwise minimum norm selection",
      "control lyapunov function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}