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Eigenvalue-based approach to global consensus of nonlinear multi-agent systems

  • Lei Wang*
  • , Ya Nan Bai
  • , Song Lin Yan
  • , Michael Z.Q. Chen
  • *Corresponding author for this work
  • Beihang University
  • The University of Hong Kong

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

Abstract

This paper investigates the global consensus of asymmetrically coupled multi-agent systems with nonlinear dynamics. By employing a Lyapunov function, a consensus criterion is presented by checking an inequality involving the smallest eigenvalue except zero of a redefined symmetric matrix associated with the asymmetric Laplacian matrix to guarantee the global consensus of the considered multi-agent systems. In particular, we show that the presented criterion is equivalent to the result by defining a generalized algebraic connectivity [21] corresponding to the Laplacian matrix. Numerical simulations are carried out to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages1265-1269
Number of pages5
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Consensus
  • Lyapunov function
  • Nonlinear dynamics
  • Second smallest eigenvalue

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