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

Qingshuo Song; Guanrong Chen; Daniel W. C. Ho

doi:10.1109/TAC.2011.2107130

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

Qingshuo Song, Guanrong Chen, Daniel W. C. Ho

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

10 Citations (Scopus)

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 L^p 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.

Original language	English
Article number	5692817
Pages (from-to)	1203-1207
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2011.2107130
Publication status	Published - May 2011

Research Keywords

Consensus
random network
stability
stochastic matrix

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On the equivalence and condition of different consensus over a random network generated by i.i.d. stochastic matrices. / Song, Qingshuo ; Chen, Guanrong ; Ho, Daniel W. C.
In: IEEE Transactions on Automatic Control, Vol. 56, No. 5, 5692817, 05.2011, p. 1203-1207.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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AU - Song, Qingshuo

AU - Chen, Guanrong

AU - Ho, Daniel W. C.

PY - 2011/5

Y1 - 2011/5

N2 - 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.

AB - 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.

KW - Consensus

KW - random network

KW - stability

KW - stochastic matrix

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EP - 1207

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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

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Research Keywords

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