TY - JOUR
T1 - On the equivalence and condition of different consensus over a random network generated by i.i.d. stochastic matrices
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
UR - http://www.scopus.com/inward/record.url?scp=79955884052&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79955884052&origin=recordpage
U2 - 10.1109/TAC.2011.2107130
DO - 10.1109/TAC.2011.2107130
M3 - 21_Publication in refereed journal
VL - 56
SP - 1203
EP - 1207
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 5
M1 - 5692817
ER -