Effect of nonuniform varying delay on the rate of convergence in averaging-based consensus

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Turkish Journal of Electrical Engineering and Computer Science
Volume:23 Issue:4
Effect of nonuniform varying delay on the rate of convergence in averaging-based consensus

Effect of nonuniform varying delay on the rate of convergence in averaging-based consensus

Authors : Onur CİHAN, Mehmet AKAR

Pages : 1069-1080

Doi:10.3906/elk-1306-8

View : 17 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper discusses the effect of nonuniform varying communication delay on distributed consensus algorithms in discrete time. After introducing the delayed mathematical model, we first investigate the ergodicity of the delayed system using the properties of scrambling matrices. Subsequently, the effect of nonuniform varying delay on convergence is examined. It is shown theoretically that nonuniform delay is not detrimental to the convergence rate of the algorithm for directed acyclic graphs. The results are also illustrated with several numerical examples.
Keywords : Consensus, distributed control, networks with time delays

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