MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Network consensus under distributed transmission delays

Fatihcan M. Atay


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.


Related publications

2014 Repository Open Access
Fatihcan M. Atay

Network consensus under distributed transmission delays

In: ECC : 13th European Control Conference 2014 ; Strasbourg, France, June 24-27, 2014
Piscataway, NJ : IEEE, 2014. - pp. 1110-1114