On the existence of common Lyapunov functions for consensus algorithms based on averaging

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Turkish Journal of Electrical Engineering and Computer Science
Volume:19 Issue:3
On the existence of common Lyapunov functions for consensus algorithms based on averaging

On the existence of common Lyapunov functions for consensus algorithms based on averaging

Authors : Mehmet AKAR, Robert SHORTEN

Pages : 483-493

View : 27 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

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 : Key words Consensus, synchronization, scrambling matrix, common Lyapunov function, switched systems

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