Homogeneous Time-Varying Systems: Robustness Analysis

H. Ríos; D. Efimov; A. Polyakov; W. Perruquetti

doi:10.1109/TAC.2016.2540806

Homogeneous Time-Varying Systems: Robustness Analysis

H. Ríos, D. Efimov, A. Polyakov, W. Perruquetti

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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.

Original language	English
Article number	7430268
Pages (from-to)	4075-4080
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	61
Issue number	12
DOIs	https://doi.org/10.1109/TAC.2016.2540806
State	Published - Dec 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Homogeneity
perturbations
robustness
timevarying systems

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10.1109/TAC.2016.2540806

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Homogeneous Time-Varying Systems: Robustness Analysis

Abstract

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Keywords

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