Linear Consensus Algorithms Based on Balanced Asymmetric Chains

Sadegh Bolouki; Roland P. Malhame

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arXiv · 1204.6093

Linear Consensus Algorithms Based on Balanced Asymmetric Chains

Sadegh Bolouki·Roland P. Malhame

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Abstract

Multi agent consensus algorithms with update steps based on so-called balanced asymmetric chains, are analyzed. For such algorithms it is shown that (i) the set of accumulation points of states is finite, (ii) the asymptotic unconditional occurrence of single consensus or multiple consensuses is directly related to the property of absolute infinite flow for the underlying update chain. The results are applied to well known consensus models.

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BibTeX RIS

Sadegh Bolouki, Roland P. Malhame. 2012-04-27. Linear Consensus Algorithms Based on Balanced Asymmetric Chains. https://arxiv.org/abs/1204.6093

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