Homogeneous Time-Varying Systems: Robustness Analysis

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

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 languageEnglish
Article number7430268
Pages (from-to)4075-4080
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number12
StatePublished - Dec 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 IEEE.


  • Homogeneity
  • perturbations
  • robustness
  • timevarying systems


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