@inproceedings{bf80a9e02b8949c7ad8cde157935ebfc,

title = "Stochastic synchronization over weighted directed networks",

abstract = "We assess synchronization of oscillators that are coupled via a time-varying stochastic network, modeled as a weighted directed random graph that switches at a given rate between a set of possible graphs. The existence of any graph edge is probabilistic and independent from the existence of any other edge. We further allow each edge to be weighted differently. Even if the network is always instantaneously not connected, we show that sufficient information is propagated through the network to allow almost sure synchronization as long as the expected value of the network is connected, and that the switching rate is sufficiently fast.",

keywords = "Ad hoc networking, Directed graphs, Fast switching, Random graphs, Synchronization, Weighted graphs",

author = "Maurizio Porfiri and Stilwell, {Daniel J.} and Bollt, {Erik M.}",

year = "2007",

doi = "10.1109/ACC.2007.4282570",

language = "English (US)",

isbn = "1424409888",

series = "Proceedings of the American Control Conference",

pages = "2387--2392",

booktitle = "Proceedings of the 2007 American Control Conference, ACC",

note = "2007 American Control Conference, ACC ; Conference date: 09-07-2007 Through 13-07-2007",

}