Asymptotic stability of dynamical networks

Tao Liu*, David Hill, Jun Zhao

*Corresponding author for this work

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

    1 Citation (Scopus)

    Abstract

    In this paper, asymptotic stability of dynamical networks with non-identical nodes is investigated. Networks with fixed and switching topologies are discussed, respectively. Different Lyapunov functions for each individual node are used, and sufficient conditions for both cases are derived to guarantee asymptotic stability of such networks. The stabilizing switching signals are identified by using the convex combination method for networks with switching topology. The results obtained are not only restricted to undirected networks, but also applicable to directed networks. A numerical example of switched network is given to show the effectiveness of the proposed results.

    Original languageEnglish
    Title of host publicationProceedings of the 30th Chinese Control Conference, CCC 2011
    Pages928-933
    Number of pages6
    Publication statusPublished - 2011
    Event30th Chinese Control Conference, CCC 2011 - Yantai, China
    Duration: 22 Jul 201124 Jul 2011

    Publication series

    NameProceedings of the 30th Chinese Control Conference, CCC 2011

    Conference

    Conference30th Chinese Control Conference, CCC 2011
    Country/TerritoryChina
    CityYantai
    Period22/07/1124/07/11

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