{
  "id": "2306.01079",
  "version": "v1",
  "published": "2023-06-01T18:34:34.000Z",
  "updated": "2023-06-01T18:34:34.000Z",
  "title": "Ensemble Feedback Stabilization of Linear Systems",
  "authors": [
    "Philipp A. Guth",
    "Karl Kunisch",
    "Sergio S. Rodrigues"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "Stabilization of linear control systems with parameter-dependent system matrices is investigated. A Riccati based feedback mechanism is proposed and analyzed. It is constructed by means of an ensemble of parameters from a training set. This single feedback stabilizes all systems of the training set and also systems in its vicinity. Moreover its suboptimality with respect to optimal feedback for each single parameter from the training set can be quantified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-01T18:34:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34H05",
      "49J15",
      "49N10",
      "93B52",
      "34F05"
    ],
    "keywords": [
      "ensemble feedback stabilization",
      "linear systems",
      "training set",
      "linear control systems",
      "parameter-dependent system matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}