Analysis of consensus protocols under time delays in directed graphs

Dario Alejandro Yela, German Obando, Andres Pantoja

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publication2017 IEEE 3rd Colombian Conference on Automatic Control, CCAC 2017 - Conference Proceedings
EditorsEugenio Yime, Diego Patino
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-6
Number of pages6
ISBN (Electronic)9781538603987
DOIs
StatePublished - Jan 30 2018
Event3rd IEEE Colombian Conference on Automatic Control, CCAC 2017 - Cartagena, Colombia
Duration: Oct 18 2017Oct 20 2017

Publication series

Name2017 IEEE 3rd Colombian Conference on Automatic Control, CCAC 2017 - Conference Proceedings
Volume2018-January

Conference

Conference3rd IEEE Colombian Conference on Automatic Control, CCAC 2017
CountryColombia
CityCartagena
Period10/18/1710/20/17

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Control and Optimization

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