Homogeneity Based Uniform Stability Analysis for Time-Varying Systems

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

doi:10.1109/TAC.2015.2446371

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 journal › Article › peer-review

21 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 language	English
Article number	7126938
Pages (from-to)	725-734
Number of pages	10
Journal	IEEE Transactions on Automatic Control
Volume	61
Issue number	3
DOIs	https://doi.org/10.1109/TAC.2015.2446371
State	Published - Mar 2016

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Publisher Copyright:
© 2015 IEEE.

Keywords

Adaptive control
Stability of nonlinear systems
Time-varying systems

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10.1109/TAC.2015.2446371

Cite this

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Homogeneity Based Uniform Stability Analysis for Time-Varying Systems

Abstract

Bibliographical note

Keywords

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