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Analysis of consensus protocols under time delays in directed graphs

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Autores
Yela D.A.
Obando Bravo, Germán Dario
Pantoja A.

Fecha
2018

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Institute of Electrical and Electronics Engineers Inc.

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Abstract
Consensus protocols, used in multiagent systems to achieve agreements, are affected by inherent issues into the communication networks. An interesting research problem is the effect of time delays in the process, which could prevent the system to obtain the desired agreement equilibrium. In this work we propose to use the Lambert W function to analyze the input time delays in a system of interacting agents, assuming directed graphs to represent a network with simple-integrator dynamics in each agent. Then, a closed-form for the marginally-stable delay is obtained and tested with simulations in a study case. © 2017 IEEE.
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Keywords
Automation , Multi agent systems , Process control , Time delay , Consensus , Consensus protocols , Digraphs , Effect of time , Input time delays , Interacting agents , Lambert W function , Research problems , Directed graphs , Consensus , Digraphs , Lambert W function , Time delays
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