Consensus on spheres: Convergence analysis and perturbation theory

Christian Lageman, Zhiyong Sun

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

    32 Citations (Scopus)

    Abstract

    This paper studies an extension of Euclidean consensus dynamics to unit spheres. The use of invariant manifolds techniques enables us not only to prove exponential asymptotic stability of the synchronization manifold, but also to show persistence of the synchronization manifold under perturbations. We also consider the case that the agents are subject to a common drift term and show the extension of the stability and persistence results to this case.

    Original languageEnglish
    Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages19-24
    Number of pages6
    ISBN (Electronic)9781509018376
    DOIs
    Publication statusPublished - 27 Dec 2016
    Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
    Duration: 12 Dec 201614 Dec 2016

    Publication series

    Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

    Conference

    Conference55th IEEE Conference on Decision and Control, CDC 2016
    Country/TerritoryUnited States
    CityLas Vegas
    Period12/12/1614/12/16

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