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MiS Preprint
101/2013
Network consensus under distributed transmission delays
Fatihcan M. Atay
Abstract
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.
