{
  "id": "2308.01822",
  "version": "v1",
  "published": "2023-08-03T15:33:12.000Z",
  "updated": "2023-08-03T15:33:12.000Z",
  "title": "Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction",
  "authors": [
    "Birgit Jacob",
    "Hans Zwart"
  ],
  "categories": [
    "math.AP",
    "math.FA",
    "math.OC"
  ],
  "abstract": "We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domainand we will focus on topics such as Dirac structures, well-posedness, stability and stabilizability, Riesz-bases and dissipativity. We combine the abstract operator theoretic approach with the more physical approach based on Hamiltonians. This enables us to derive easy verifiable conditions for well-posedness and stability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-03T15:33:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite-dimensional linear port-hamiltonian systems",
      "introduction",
      "abstract operator theoretic approach",
      "infinite-dimensional port-hamiltonian systems",
      "one-dimensional spatial domainand"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}