@inproceedings{0f2a3dd0f19345b58c0c7a3858c128a4,
title = "Distributed algebraic connectivity estimation for adaptive event-triggered consensus",
abstract = "In several multi agent control problems, the convergence properties and speed of the system depend on the algebraic connectivity of the graph. We discuss a particular event-triggered consensus scenario, and show that the availability of an estimate of the algebraic connectivity could be used for adapting the behavior of the average consensus algorithm. We present a novel distributed algorithm for estimating the algebraic connectivity, that relies on the distributed computation of the powers of matrices. We provide proofs of convergence, convergence rate, and upper and lower bounds at each iteration of the estimated algebraic connectivity.",
author = "R. Aragues and G. Shi and Dimarogonas, {D. V.} and C. Sagues and Johansson, {K. H.}",
year = "2012",
doi = "10.1109/acc.2012.6315110",
language = "English",
isbn = "9781457710957",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "32--37",
booktitle = "2012 American Control Conference, ACC 2012",
address = "United States",
note = "2012 American Control Conference, ACC 2012 ; Conference date: 27-06-2012 Through 29-06-2012",
}