On conditions of robust synchronization for multistable systems

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.
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Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti. On conditions of robust synchronization for multistable systems. Proc. ECC'15, Jul 2015, Linz, Austria. ⟨hal-01140326⟩

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