Consensus over a Random Network Generated by i.i.d. Stochastic Matrices

Details Consensus over a Random Network Generated by i.i.d. Stochastic Matrices Consensus over a Random Network Generated by i.i.d. Stochastic Matrices

2010-04-21

arxiv.org/abs/1004.3617v1

Computer Science

Networking and Internet Architecture

Scientific paper

Our goal is to find a necessary and sufficient condition on the consensus over a random network, generated by i.i.d. stochastic matrices. We show that the consensus problem in three different convergence modes (almost surely, in probability, and in L1) are equivalent, thus have the same necessary and sufficient condition. We obtain the necessary and sufficient condition through the stability in a projected subspace.

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