{
  "id": "2103.15271",
  "version": "v1",
  "published": "2021-03-29T01:48:40.000Z",
  "updated": "2021-03-29T01:48:40.000Z",
  "title": "A Note on Global Optimization for Max-Plus Linear Systems",
  "authors": [
    "Cailu Wang",
    "Yuegang Tao"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "This note further addresses the global optimization problem for max-plus linear systems considered in [Automatica 119 (2020) 109104]. Firstly, the operations between infinity elemens and real numbers involved in the formulas of solving global optimization problems are explained explicitly. Secondly, the formula of the greatest lower bound and the criterion of solvability of globally optimal solutions are simplified. Thirdly, the criterion of uniqueness of globally optimal solutions and the set of all globally optimal solutions are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-29T01:48:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "max-plus linear systems",
      "globally optimal solutions",
      "solving global optimization problems",
      "greatest lower bound",
      "real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}