Homogeneity Based Uniform Stability Analysis for Time-Varying Systems

Hector Rios, Denis Efimov, Leonid M. Fridman, Jaime A. Moreno, Wilfrid Perruquetti

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The uniform stability notion for a class of nonlinear time-varying systems is studied using the homogeneity framework. It is assumed that the system is weighted homogeneous considering the time variable as a constant parameter, then several conditions of uniform stability for such a class of systems are formulated. The results are applied to the problem of adaptive estimation for a linear system.

Original languageEnglish
Article number7126938
Pages (from-to)725-734
Number of pages10
JournalIEEE Transactions on Automatic Control
Volume61
Issue number3
DOIs
StatePublished - Mar 2016

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

  • Adaptive control
  • Stability of nonlinear systems
  • Time-varying systems

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