Skip to Main content Skip to Navigation
Journal articles

Homogeneous Time-Varying Systems: Robustness Analysis

Hector Ríos 1 Denis Efimov 2 Andrey Polyakov 2 Wilfrid Perruquetti 2
2 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 : 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [33 references]  Display  Hide  Download

https://hal.inria.fr/hal-01284741
Contributor : Denis Efimov Connect in order to contact the contributor
Submitted on : Tuesday, March 8, 2016 - 9:35:27 AM
Last modification on : Tuesday, April 13, 2021 - 3:13:24 AM
Long-term archiving on: : Sunday, November 13, 2016 - 10:25:13 AM

File

_16-0087_03_MS.pdf
Files produced by the author(s)

Identifiers

Citation

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, 2016, 61 (12), pp.4075 - 4080. ⟨10.1109/TAC.2016.2540806⟩. ⟨hal-01284741⟩

Share

Metrics

Record views

1124

Files downloads

685