Static decentralized control of a single-integrator network with Markovian sensing topology

  • Authors:

  • Sandip Roy;Ali Saberi

  • Affiliations:

  • School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA;School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

Static stabilization of a decentralized discrete-time single-integrator network that is subject to Markovian variation in the communication/sensing topology is considered. In particular, we develop sufficient conditions on the Markovian topology for mean-square stabilization using a decentralized static controller that has no knowledge of the underlying Markov state. Our analysis exposes a deep connection between decentralized control of single-integrator networks with Markovian topology and those with fixed topology: static stabilization of the network with Markovian topology is possible whenever the steady-state time-average of the Markovian topology is amenable to static (fixed-topology-based) decentralized control.