{
  "id": "1809.00857",
  "version": "v1",
  "published": "2018-09-04T09:27:59.000Z",
  "updated": "2018-09-04T09:27:59.000Z",
  "title": "Stabilization of port-Hamiltonian systems with discontinuous energy densities",
  "authors": [
    "Jochen Schmid"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of bounded variation. In particular, and in contrast to the previously known stabilization results, our result applies to vibrating strings or beams with jumps in their mass density and modulus of elasticity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-04T09:27:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy density",
      "discontinuous energy densities",
      "linear port-hamiltonian systems",
      "exponential stabilization result",
      "first order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}