Homogeneous Time-Varying Systems: Robustness Analysis

Abstract : The problem of stability robustness with respect to time-varying perturbations of a given frequency spectrum is studied applying homogeneity framework. The notion of finite-time stability over time intervals of finite length, i.e. short-finite-time stability, is introduced and used for that purpose. The results are applied to analyze the Super-Twisting Algorithm (STA) behavior under time-varying perturbations. Some simulation examples illustrate these robustness properties.
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Hector Ríos, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Homogeneous Time-Varying Systems: Robustness Analysis. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2017. ⟨hal-01284741⟩

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