{
  "id": "2404.07913",
  "version": "v1",
  "published": "2024-04-11T16:57:30.000Z",
  "updated": "2024-04-11T16:57:30.000Z",
  "title": "Optimal Control for Linear Systems with $L^1$-norm Cost",
  "authors": [
    "Andrei Agrachev",
    "Bettina Kazandjian"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We study $L^1$-optimal stabilization of linear systems with finite and infinite horizons. Main results concern the existence, uniqueness and structure of optimal solutions, and the robustness of optimal cost.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-11T16:57:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear systems",
      "norm cost",
      "optimal control",
      "optimal solutions",
      "optimal stabilization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}