Robust Global Synchronization of Brockett Oscillators

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov

Research output: Contribution to journalArticle

1 Citation (Scopus)
22 Downloads (Pure)

Abstract

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
Volume6
Issue number1
Early online date8 Mar 2018
DOIs
Publication statusPublished - Mar 2019

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Global Synchronization
Synchronization
System theory
Invariant Set
Systems Theory
Compact Set
Periodicity
Numerical Simulation
Computer simulation

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.

Keywords

  • 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

Cite this

Robust Global Synchronization of Brockett Oscillators. / Ahmed, Hafiz; Ushirobira, Rosane; Efimov, Denis .

In: IEEE Transactions on Control of Network Systems, Vol. 6, No. 1, 8309293, 03.2019, p. 289 - 298.

Research output: Contribution to journalArticle

Ahmed, Hafiz ; Ushirobira, Rosane ; Efimov, Denis . / Robust Global Synchronization of Brockett Oscillators. In: IEEE Transactions on Control of Network Systems. 2019 ; Vol. 6, No. 1. pp. 289 - 298.
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