{
  "id": "1401.5004",
  "version": "v1",
  "published": "2014-01-20T18:14:19.000Z",
  "updated": "2014-01-20T18:14:19.000Z",
  "title": "Stability Analysis and Design of a Network of Event-based Systems",
  "authors": [
    "Chithrupa Ramesh",
    "Henrik Sandberg",
    "Karl H. Johansson"
  ],
  "categories": [
    "cs.SY"
  ],
  "abstract": "We consider a network of event-based systems that use a shared wireless medium to communicate with their respective controllers. These systems use a contention resolution mechanism to arbitrate access to the shared network. We identify sufficient conditions for Lyapunov mean square stability of each control system in the network, and design event-based policies that guarantee it. Our stability analysis is based on a Markov model that removes the network-induced correlation between the states of the control systems in the network. Analyzing the stability of this Markov model remains a challenge, as the event-triggering policy renders the estimation error non-Gaussian. Hence, we identify an auxiliary system that furnishes an upper bound for the variance of the system states. Using the stability analysis, we design policies, such as the constant-probability policy, for adapting the event-triggering thresholds to the delay in accessing the network. Realistic wireless networked control examples illustrate the applicability of the presented approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-20T18:14:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stability analysis",
      "event-based systems",
      "networked control examples illustrate",
      "markov model",
      "lyapunov mean square stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.5004R"
    }
  }
}