On conditions of robust synchronization for multistable systems

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

1 Citation (Scopus)

Abstract

This paper deals with a robust synchronization problem for multistable systems evolving on manifolds in the context of Input-to-State Stability (ISS) framework. Based on a recent generalization of classical ISS theory to multistable systems (may have unstable equilibrium), 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 (basically no homoclinic nor heteroclinic orbits may exist). Numerical simulation examples illustrate our theoretical results.
Original languageEnglish
Title of host publicationControl Conference (ECC), 2015 European
PublisherIEEE
DOIs
Publication statusPublished - 2015
Event2015 European Control Conference - Linz, Austria
Duration: 15 Jul 201517 Jul 2015

Conference

Conference2015 European Control Conference
Abbreviated titleECC
CountryAustria
CityLinz
Period15/07/1517/07/15

Fingerprint

Synchronization
Orbits
Decomposition
Computer simulation

Keywords

  • Synchronization
  • Robustness
  • Stability analysis
  • Nonlinear systems
  • Numerical stability
  • Manifolds
  • Lyapunov methods

Cite this

Ahmed, H., Ushirobira, R., Efimov, D., & Perruquetti, W. (2015). On conditions of robust synchronization for multistable systems. In Control Conference (ECC), 2015 European IEEE. https://doi.org/10.1109/ECC.2015.7330543

On conditions of robust synchronization for multistable systems. / Ahmed, Hafiz; Ushirobira, Rosane; Efimov, Denis ; Perruquetti, Wilfrid .

Control Conference (ECC), 2015 European. IEEE, 2015.

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Ahmed, H, Ushirobira, R, Efimov, D & Perruquetti, W 2015, On conditions of robust synchronization for multistable systems. in Control Conference (ECC), 2015 European. IEEE, 2015 European Control Conference, Linz, Austria, 15/07/15. https://doi.org/10.1109/ECC.2015.7330543
Ahmed H, Ushirobira R, Efimov D, Perruquetti W. On conditions of robust synchronization for multistable systems. In Control Conference (ECC), 2015 European. IEEE. 2015 https://doi.org/10.1109/ECC.2015.7330543
Ahmed, Hafiz ; Ushirobira, Rosane ; Efimov, Denis ; Perruquetti, Wilfrid . / On conditions of robust synchronization for multistable systems. Control Conference (ECC), 2015 European. IEEE, 2015.
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