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:	Publisher

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