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Journal Articles IEEE Transactions on Automatic Control Year : 2016

Robust synchronization for multistable systems


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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Dates and versions

hal-01185112 , version 1 (21-10-2015)



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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