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Video s3
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    Presenter(s)
    Chai Wah Wu Headshot
    Display Name
    Chai Wah Wu
    Affiliation
    Affiliation
    IBM T. J. Watson Research Center
    Country
    Abstract

    We study synchronization and consensus in dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of multiple networks can lead to synchronization. We illustrate how the effectiveness of a collection of networks to synchronize the coupled systems depends on the graph topology and show that if the graph sum is a directed graph whose reversal contains a spanning directed tree, then the network synchronizes if the coupling is strong enough. This is intuitive as there is a root node that influence every other node via edges where each edge is in one of the networks.

    Slides
    • Synchronization in Dynamical Systems Coupled via Multiple Directed Networks (application/pdf)