Distributed algorithm for achieving finite-time minimum l1 norm solutions of linear equation

Jingqiu Zhou, Wang Xuan, Shaoshuai Mou, Brian Anderson

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

    Abstract

    Abstract This paper proposes a distributed algorithm for multi-agent networks to achieve a minimum l1-norm solution to a linear equation Ax = b where A has full row rank. When the underlying network is undirected and fixed, it is proved that the proposed algorithm drive all agents individual states to converge in finite-time to the same minimum l1-norm solution. Numerical simulations are also provided as validation of the proposed algorithms.
    Original languageEnglish
    Title of host publicationProceedings of 2018 American Control Conference (ACC)
    Place of Publicationonline
    PublisherIEEE
    Pages5857-5862
    ISBN (Print)978-1-5386-5427-9
    Publication statusPublished - 2018
    EventACC 2018 - American Control Conference - Milwaukee, USA
    Duration: 1 Jan 2018 → …

    Conference

    ConferenceACC 2018 - American Control Conference
    Period1/01/18 → …
    OtherJune 27-29, 2018

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