Continuous-time consensus dynamics with quantized all-to-all communication

Francesca Ceragioli, Paolo Frasca

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

    4 Citations (Scopus)

    Abstract

    This paper deals with a quantized version of a consensus dynamics in continuous-time, which is motivated by opinion dynamics applications. Under the assumption of all-to-all communication, we show existence and completeness of solutions, we characterize the equilibria, and we prove asymptotical convergence to a state of quantized consensus. For almost all initial conditions, the consensus value differs from the initial average by at most the quantizer precision. Furthermore, we discuss the implications of more general assumptions on the communication graph.
    Original languageUndefined
    Title of host publicationEuropean Control Conference, ECC 2015
    Place of PublicationPiscataway, NJ, USA
    PublisherIEEE
    Pages1926 -1931
    Number of pages6
    ISBN (Print)978-3-9524269-3-7
    DOIs
    Publication statusPublished - 15 Jul 2015
    Event2015 European Control Conference, ECC 2015 - Linz, Austria
    Duration: 15 Jul 201517 Jul 2015

    Publication series

    Name
    PublisherIEEE

    Conference

    Conference2015 European Control Conference, ECC 2015
    Abbreviated titleECC
    CountryAustria
    CityLinz
    Period15/07/1517/07/15

    Keywords

    • EWI-26797
    • IR-99420
    • METIS-315588

    Cite this