{
  "id": "2309.12480",
  "version": "v1",
  "published": "2023-09-21T20:51:00.000Z",
  "updated": "2023-09-21T20:51:00.000Z",
  "title": "Global Uniform Ultimate Boundedness of Semi-Passive Systems Interconnected over Directed Graphs",
  "authors": [
    "Anes Lazri",
    "Mohamed Maghenem",
    "Elena Panteley",
    "Antonio Loria"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We analyse the solutions of networked heterogeneous nonlinear systems. We assume that the closed-loop interconnected systems form a network with an underlying connected directed graph that contains a directed spanning tree. For these systems, we establish global uniform ultimate boundedness of the solutions, under the assumption that each agent's dynamics defines a semi-passive. As a corollary, we also establish global uniform global boundedness of the solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-21T20:51:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34D06",
      "34D23",
      "34C99",
      "93C10",
      "94C15",
      "05C75"
    ],
    "keywords": [
      "directed graph",
      "semi-passive systems",
      "establish global uniform global boundedness",
      "establish global uniform ultimate boundedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}