Robust Synchronization for Multistable Systems

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti

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    10 Citations (Scopus)
    59 Downloads (Pure)


    In this note, we study a robust synchronization problem for multistable systems evolving on manifolds within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to multistable systems, a robust synchronization protocol is designed with respect to a compact invariant set of the unperturbed system. The invariant set is assumed to admit a decomposition without cycles, that is, with neither homoclinic nor heteroclinic orbits. Numerical simulation examples illustrate our theoretical results.
    Original languageEnglish
    Pages (from-to)1625-1630
    Number of pages6
    JournalIEEE Transactions on Automatic Control
    Issue number6
    Early online date2 Sept 2015
    Publication statusPublished - Jun 2016

    Bibliographical note

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    • Syncronization
    • Robustness
    • Lyapunov methods
    • Stability analysis
    • Nonlinear systems
    • Manifolds
    • Numerical stability
    • robust control
    • syncronisation
    • robust synchronization protocol
    • multistable systems
    • input-to-state stability framework
    • ISS framework


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