Consensus of multi-agent systems with distributed fractional order dynamics

G. Nava-Antonio, G. Fernández-Anaya, E. G. Hernández-Martínez, J. Jamous-Galante, E. D. Ferreira-Vazquez, J. J. Flores-Godoy

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

In this article, we investigate the consensus of multi-agent systems with fixed directed graphs and described by distributed fractional order differential equations. Using recently introduced Lyapunov stability results, we give sufficient conditions for this kind of systems to achieve robust consensus. We study separately systems with linear and nonlinear dynamics; in both cases we consider the possible presence of external disturbances. Finally, an example is given to validate some of the presented theory.

Original languageEnglish
Title of host publication2017 International Workshop on Complex Systems and Networks, IWCSN 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages190-197
Number of pages8
ISBN (Electronic)9781538618905
DOIs
StatePublished - 2 Jul 2017
Event14th International Workshop on Complex Systems and Networks, IWCSN 2017 - Doha, Qatar
Duration: 8 Dec 201710 Dec 2017

Publication series

Name2017 International Workshop on Complex Systems and Networks, IWCSN 2017
Volume2018-January

Conference

Conference14th International Workshop on Complex Systems and Networks, IWCSN 2017
Country/TerritoryQatar
CityDoha
Period8/12/1710/12/17

Keywords

  • Distributed fractional calculus
  • Lyapunov direct method
  • Multi-agent systems
  • Robust consensus

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