Robust Global Synchronization of Brockett Oscillators

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)
    57 Downloads (Pure)


    In this paper, motivated by a recent work 'Synchronization without periodicity (2013),' a robust global synchronization problem of multistable Brockett oscillators has been studied within an input-to-state stability framework. Two synchronization protocols are designed with respect to compact invariant sets of the unperturbed Brockett oscillator. The conditions obtained in our work are global and applicable to families of nonidentical oscillators in contrast to the local analysis presented in 'Mathematical Systems Theory, A Volume in Honor of U. Helmke.' Numerical simulation examples illustrate our theoretical results.

    Original languageEnglish
    Article number8309293
    Pages (from-to)289 - 298
    Number of pages10
    JournalIEEE Transactions on Control of Network Systems
    Issue number1
    Early online date8 Mar 2018
    Publication statusPublished - Mar 2019

    Bibliographical note

    © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.


    • Synchronization
    • Trajectory
    • Asymptotic stability
    • Numerical stability
    • Robustness
    • Stability analysis
    • Oscillators
    • Input-to-State Stability
    • Brockett oscillator
    • multistability
    • synchronization
    • input-to-state stability (ISS)

    ASJC Scopus subject areas

    • Control and Optimization
    • Signal Processing
    • Control and Systems Engineering
    • Computer Networks and Communications


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