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On conditions of robust synchronization for multistable systems

Hafiz Ahmed 1 Rosane Ushirobira 1 Denis Efimov 1 Wilfrid Perruquetti 1, 2, 3 
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 : 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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Submitted on : Wednesday, April 8, 2015 - 1:37:58 PM
Last modification on : Tuesday, December 6, 2022 - 12:42:13 PM
Long-term archiving on: : Tuesday, April 18, 2017 - 1:48:59 PM


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  • HAL Id : hal-01140326, version 1


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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