Comments on "Consensus and Cooperation in Networked Multi-Agent Systems"
Pavel Chebotarev

TL;DR
This paper critiques and corrects significant errors in a foundational work on multi-agent consensus, providing stronger results and clarifications to improve understanding of the original research.
Contribution
It identifies and corrects serious mistakes in the original paper, offering improved results and clearer interpretations for multi-agent consensus problems.
Findings
Corrects inaccuracies in the original work
Provides stronger theoretical results
Clarifies the interpretation of priority in the context
Abstract
This note corrects a pretty serious mistake and some inaccuracies in "Consensus and cooperation in networked multi-agent systems" by R. Olfati-Saber, J.A. Fax, and R.M. Murray, published in Vol. 95 of the Proceedings of the IEEE (2007, No. 1, P. 215-233). It also mentions several stronger results applicable to the class of problems under consideration and addresses the issue of priority whose interpretation in the above-mentioned paper is not exact.
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