{
  "id": "0710.4765",
  "version": "v1",
  "published": "2007-10-25T09:59:11.000Z",
  "updated": "2007-10-25T09:59:11.000Z",
  "title": "Robust control of uncertain multi-inventory systems via Linear Matrix Inequality",
  "authors": [
    "D. Bauso",
    "L. Giarré",
    "R. Pesenti"
  ],
  "comment": "submitted to Operational Research Letters",
  "categories": [
    "math.OC",
    "math.DS"
  ],
  "abstract": "We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of \"-stabilizing the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which \"-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach and on some recent techniques for the modeling and analysis of polytopic systems with saturations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-25T09:59:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93Cxx"
    ],
    "keywords": [
      "linear matrix inequality",
      "uncertain multi-inventory systems",
      "robust control",
      "linear state feedback control",
      "time linear multi inventory system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.4765B"
    }
  }
}