{
  "id": "1901.01009",
  "version": "v1",
  "published": "2019-01-04T08:04:54.000Z",
  "updated": "2019-01-04T08:04:54.000Z",
  "title": "Event-triggered damping stabilization of a linear wave equation",
  "authors": [
    "Lucie Baudouin",
    "Swann Marx",
    "Sophie Tarbouriech"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a first order time derivative term distributed in the whole domain. Sufficient conditions based on the use of suitable Lyapunov functional are proposed to guarantee that an event-triggered distributed control still ensures the exponential stability of the closed-loop system. Moreover, the designed event-triggering mechanism allows to avoid the Zeno behavior. The 'existence and regularity' prerequisite properties of solutions for the closed loop system are also proven.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-04T08:04:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear wave equation",
      "event-triggered damping stabilization",
      "first order time derivative term",
      "partial differential wave equation",
      "event-triggering mechanism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}