Title of article
On the existence of common Lyapunov functions for consensus algorithms based on averaging
Author/Authors
AKAR, Mehmet Bogazici University - Department of Electrical and Electronic Engineering, TURKEY , SHORTEN, Robert National University of Ireland - Hamilton Institute, IRELAND
From page
483
To page
493
Abstract
This paper addresses distributed deterministic consensus algorithms based on averaging. We relate the conditions for achieving consensus to the existence of a common norm for a set of row-stochastic matrices associated with the original set of averaging matrices. For a system to achieve consensus, it is shown that this associated set of matrices should have a Common Lyapunov Function, even if the original set might not have one.
Keywords
Consensus , synchronization , scrambling matrix , common Lyapunov function , switched systems
Journal title
Turkish Journal of Electrical Engineering and Computer Sciences
Journal title
Turkish Journal of Electrical Engineering and Computer Sciences
Record number
2532075
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