{
  "id": "2002.06632",
  "version": "v1",
  "published": "2020-02-16T18:05:13.000Z",
  "updated": "2020-02-16T18:05:13.000Z",
  "title": "Passive Linear Discrete-Time Systems -- Characterization through Structure",
  "authors": [
    "Izchak Lewkowicz"
  ],
  "categories": [
    "math.OC",
    "math.FA"
  ],
  "abstract": "We here show that discrete-time passive linear systems are intimately linked to the structure of maximal, matrix-convex sets, closed under multiplication among their elements. Moreover, this observation unifies three setups: (i) difference inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with rational functions. It turns out that in the continuous-time case, the associated structure is if of maximal matrix-convex, cones, closed under inversion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-16T18:05:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "passive linear discrete-time systems",
      "characterization",
      "discrete-time passive linear systems",
      "matrix-convex sets",
      "maximal matrix-convex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}