On the equivalence and condition of different consensus over a random network generated by i.i.d. stochastic matrices
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 5692817 |
| Pages (from-to) | 1203-1207 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Volume | 56 |
| Issue number | 5 |
| Publication status | Published - May 2011 |
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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)
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, 22, 62) › 21_Publication in refereed journal › peer-review
