Robust global synchronization of Brockett oscillators

Hafiz Ahmed (1) , Rosane Ushirobira (2) , Denis Efimov (3)

1 NWU - North-West University [South Aftrica]
2 GAIA - Géométrie, Algèbre, Informatique, Applications
3 NON-A-POST - Non-Asymptotic estimation for online systems

In this article, motivated by a recent work of R. Brockett [1], a robust global synchronization problem of multistable Brockett oscillators has been studied within an Input-to-State Stability (ISS) 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 non-identical oscillators in contrast to the local analysis of [1]. Numerical simulation examples illustrate our theoretical results.

Mots clés: multi-stability; Input-to-State Stability; synchronization; Brockett oscillator

Domaines: Automatique / Robotique

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov. Robust global synchronization of Brockett oscillators. IEEE Transactions on Control of Network Systems, 2018, pp.1-10. ⟨10.1109/tcns.2018.2813927⟩. ⟨hal-01965539⟩