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arXiv · 1004.3617

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

Qingshuo Song·Guanrong Chen·Daniel W. C. Ho
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Abstract

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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Qingshuo Song, Guanrong Chen, Daniel W. C. Ho. 2010-04-21. Consensus over a Random Network Generated by i.i.d. Stochastic Matrices. https://arxiv.org/abs/1004.3617

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