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    Stochastic consensus over noisy networks with Markovian and arbitrary switches


    Huang, Minyi and Dey, Subhrakanti and Nair, Girish N. and Manton, Jonathan H. (2010) Stochastic consensus over noisy networks with Markovian and arbitrary switches. Automatica, 46 (10). pp. 1571-1583. ISSN 0005-1098

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    Abstract

    This paper considers stochastic consensus problems over lossy wireless networks. We first propose a measurement model with a random link gain, additive noise, and Markovian lossy signal reception, which captures uncertain operational conditions of practical networks. For consensus seeking, we apply stochastic approximation and derive a Markovian mode dependent recursive algorithm. Mean square and almost sure (i.e., probability one) convergence analysis is developed via a state space decomposition approach when the coefficient matrix in the algorithm satisfies a zero row and column sum condition.Subsequently,we consider a model with arbitrary random switching and a common stochastic Lyapunov function technique is used to prove convergence. Finally,our method is applied to models with heterogeneous quantizers and packet losses, and convergence results are proved.

    Item Type: Article
    Keywords: Consensus; Measurement noises; Markovian lossy channels; Stochastic approximation; Quantized data; Packet losses;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Item ID: 12714
    Identification Number: https://doi.org/10.1016/j.automatica.2010.06.016
    Depositing User: Subhrakanti Dey
    Date Deposited: 07 Apr 2020 09:07
    Journal or Publication Title: Automatica
    Publisher: Elsevier
    Refereed: Yes
    URI:

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