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Reports (Research Report) Year : 2015

Robustness of Homogeneous Systems with Respect to Time-Varying Perturbations

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 behavior under some time-varying perturbations, and to demonstrate some robustness properties of the three-tank system. Some simulation examples illustrate these robustness properties.

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Dates and versions

hal-01204800 , version 1 (24-09-2015)

Identifiers

  • HAL Id : hal-01204800 , version 1

Cite

Rios Hector, Denis Efimov, Wilfrid Perruquetti. Robustness of Homogeneous Systems with Respect to Time-Varying Perturbations. [Research Report] Inria Lille; Non-A team. 2015. ⟨hal-01204800⟩
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