On conditions of robust synchronization for multistable systems

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti

Research output: Chapter in Book/Report/Conference proceedingConference proceedingpeer-review

1 Citation (Scopus)


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
Publication statusPublished - 2015
Event2015 European Control Conference - Linz, Austria
Duration: 15 Jul 201517 Jul 2015


Conference2015 European Control Conference
Abbreviated titleECC


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

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