TY - GEN

T1 - Variance analysis of randomized consensus in switching directed networks

AU - Preciado, Victor M.

AU - Tahbaz-Salehi, Alireza

AU - Jadbabaie, Ali

PY - 2010

Y1 - 2010

N2 - In this paper, we study the asymptotic properties of distributed consensus algorithms over switching directed random networks. More specifically, we focus on consensus algorithms over independent and identically distributed, directed Erdo″s-Ŕnyi random graphs, where each agent can communicate with any other agent with some exogenously specified probability p. While it is well-known that consensus algorithms over Erdo″s-Ŕnyi random networks result in an asymptotic agreement over the network, an analytical characterization of the distribution of the asymptotic consensus value remains an open question. In this paper, we provide closed-form expressions for the mean and variance of the asymptotic random consensus value, in terms of the size of the network and the probability of communication p. We also provide numerical simulations that illustrate our results.

AB - In this paper, we study the asymptotic properties of distributed consensus algorithms over switching directed random networks. More specifically, we focus on consensus algorithms over independent and identically distributed, directed Erdo″s-Ŕnyi random graphs, where each agent can communicate with any other agent with some exogenously specified probability p. While it is well-known that consensus algorithms over Erdo″s-Ŕnyi random networks result in an asymptotic agreement over the network, an analytical characterization of the distribution of the asymptotic consensus value remains an open question. In this paper, we provide closed-form expressions for the mean and variance of the asymptotic random consensus value, in terms of the size of the network and the probability of communication p. We also provide numerical simulations that illustrate our results.

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U2 - 10.1109/acc.2010.5531500

DO - 10.1109/acc.2010.5531500

M3 - Conference contribution

AN - SCOPUS:77957786816

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 6330

EP - 6335

BT - Proceedings of the 2010 American Control Conference, ACC 2010

PB - IEEE Computer Society

ER -