Andrea Censi and Richard M. Murray. Real-valued consensus over noisy quantized channels. In Proceedings of the American Control Conference (ACC). St. Louis, Missouri, June 2009. pdfdoi supp. material slides

    @inproceedings{censi09consensus,
        author = "Censi, Andrea and Murray, Richard M.",
        doi = "10.1109/ACC.2009.5159872",
        title = "Real-valued consensus over noisy quantized channels",
        url = "http://purl.org/censi/2008/consensus",
        booktitle = "Proceedings of the American Control Conference (ACC)",
        year = "2009",
        month = "June",
        slides = "http://purl.org/censi/research/2009-acc-consensus-slides.pdf",
        address = "St. Louis, Missouri",
        pdf = "http://purl.org/censi/research/2009-acc-consensus.pdf",
        abstract = "This paper concerns the average consensus problem with theconstraint of quantized communication between nodes. Abroad class of algorithms is analyzed, in which thetransmission strategy, which decides what value tocommunicate to the neighbors, can include various kinds ofrounding, probabilistic quantization, and bounded noise.The arbitrariness of the transmission strategy iscompensated by a feedback mechanism which can beinterpreted as a self-inhibitory action. The result is thatthe average of the nodes state is not conserved acrossiterations, and the nodes do not converge to a consensus;however, we show that both errors can be made as small asdesired. Bounds on these quantities involve the spectralproperties of the graph and can be proved by employingelementary techniques of LTI systems analysis."
    }
    

paper

slides