{
  "id": "2205.13967",
  "version": "v1",
  "published": "2022-05-27T13:32:46.000Z",
  "updated": "2022-05-27T13:32:46.000Z",
  "title": "Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation",
  "authors": [
    "Sérgio S. Rodrigues",
    "Dagmawi A. Seifu"
  ],
  "comment": "18 subfigures",
  "categories": [
    "math.OC"
  ],
  "abstract": "It is shown that an oblique projection based feedback control is able to stabilize the state of the Kuramoto-Sivashinsky equation, evolving in rectangular domains, to a given time-dependent trajectory. The number of actuators is finite and consists of a finite number of indicator functions supported in small subdomains. Simulations are presented, in the one-dimensional case, showing the stabilizing performance of the feedback control.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-27T13:32:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93D15",
      "93B52",
      "93C20",
      "35K58",
      "35K41"
    ],
    "keywords": [
      "feedback semiglobal stabilization",
      "kuramoto-sivashinsky equation",
      "feedback control",
      "small subdomains",
      "time-dependent trajectory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}