Robust Synchronization for Multistable Systems

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti

Research output: Contribution to journalArticle

7 Citations (Scopus)
10 Downloads (Pure)

Abstract

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
Volume61
Issue number6
Early online date2 Sep 2015
DOIs
Publication statusPublished - Jun 2016

Bibliographical note

© 2016 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

  • 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

Fingerprint Dive into the research topics of 'Robust Synchronization for Multistable Systems'. Together they form a unique fingerprint.

  • Cite this