@inproceedings{84d81bec09d445aa91d6555cc48c3e90,
title = "Analysis of consensus protocols under time delays in directed graphs",
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.",
author = "Yela, {Dario Alejandro} and German Obando and Andres Pantoja",
year = "2018",
month = jan,
day = "30",
doi = "10.1109/CCAC.2017.8276409",
language = "English (US)",
series = "2017 IEEE 3rd Colombian Conference on Automatic Control, CCAC 2017 - Conference Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1--6",
editor = "Eugenio Yime and Diego Patino",
booktitle = "2017 IEEE 3rd Colombian Conference on Automatic Control, CCAC 2017 - Conference Proceedings",
address = "United States",
note = "3rd IEEE Colombian Conference on Automatic Control, CCAC 2017 ; Conference date: 18-10-2017 Through 20-10-2017",
}