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Journal Articles IEEE Transactions on Automatic Control Year : 2016

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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Automatic
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Dates and versions

hal-01284741 , version 1 (08-03-2016)

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Hector Ríos, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Homogeneous Time-Varying Systems: Robustness Analysis. IEEE Transactions on Automatic Control, 2016, 61 (12), pp.4075 - 4080. ⟨10.1109/TAC.2016.2540806⟩. ⟨hal-01284741⟩
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