Mehmet AKAR, Robert SHORTEN

6994

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

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.

Anahtar Kelimeler:

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

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

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,

Turkish Journal of Electrical Engineering and Computer Science-Cover

ISSN: 1300-0632
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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