On the equivalence and condition of different consensus over a random network generated by i.i.d. stochastic matrices

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Detail(s)

Original languageEnglish
Article number5692817
Pages (from-to)1203-1207
Journal / PublicationIEEE Transactions on Automatic Control
Volume56
Issue number5
Publication statusPublished - May 2011

Abstract

Our objective is to find a necessary and sufficient condition for consensus over a random network generated by i.i.d. stochastic matrices. We show that the consensus problem in all different types of convergence (almost surely, in probability, and in Lp for every p ≥ 1) are actually equivalent, thereby obtain the same necessary and sufficient condition for all of them. The main technique we used is based on the stability in a projected subspace of the concerned infinite sequences. © 2011 IEEE.

Research Area(s)

  • Consensus, random network, stability, stochastic matrix

Citation Format(s)