Network consensus under distributed transmission delays
Fatihcan M. Atay
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Submission date: 08. Nov. 2013
published in: ECC : 13th European Control Conference 2014 ; Strasbourg, France, June 24-27, 2014
Piscataway, NJ : IEEE, 2014. - P. 1110 - 1114
DOI number (of the published article): 10.1109/ECC.2014.6862593
We study the linear consensus problem in weighted and directed networks under distributed signal transmission delays. In contrast to signal processing delays, the average of the initial conditions is not an invariant of the dynamics. However, the consensus algorithm has better convergence properties. We consider both discrete and distributed delays and for each case calculate the consensus value explicitly.