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Robust synchronization for multistable systems

Hafiz Ahmed 1, * Rosane Ushirobira 1 Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2 
* Corresponding author
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
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.
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Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti. Robust synchronization for multistable systems. IEEE Transactions on Automatic Control, 2016, 61 (6), pp.1625-1630. ⟨10.1109/TAC.2015.2476156⟩. ⟨hal-01185112⟩

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