Uniform stability analysis for time-varying systems applying homogeneity

H. Rios; D. Efimov; L. Fridman; J. Moreno; W. Perruquetti

doi:10.1109/CDC.2014.7039994

Uniform stability analysis for time-varying systems applying homogeneity

H. Rios, D. Efimov, L. Fridman, J. Moreno, W. Perruquetti

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3898-3902
Number of pages	5
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039994
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Access to Document

10.1109/CDC.2014.7039994

Cite this

Rios, H., Efimov, D., Fridman, L., Moreno, J., & Perruquetti, W. (2014). Uniform stability analysis for time-varying systems applying homogeneity. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 3898-3902). Article 7039994 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039994

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author = "H. Rios and D. Efimov and L. Fridman and J. Moreno and W. Perruquetti",

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Rios, H, Efimov, D, Fridman, L, Moreno, J & Perruquetti, W 2014, Uniform stability analysis for time-varying systems applying homogeneity. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039994, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 3898-3902, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039994

Uniform stability analysis for time-varying systems applying homogeneity. / Rios, H.; Efimov, D.; Fridman, L. et al.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 3898-3902 7039994 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Moreno, J.

AU - Perruquetti, W.

PY - 2014

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AB - 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.

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Rios H, Efimov D, Fridman L, Moreno J, Perruquetti W. Uniform stability analysis for time-varying systems applying homogeneity. In 53rd IEEE Conference on Decision and Control,CDC 2014. February ed. Institute of Electrical and Electronics Engineers Inc. 2014. p. 3898-3902. 7039994. (Proceedings of the IEEE Conference on Decision and Control; February). doi: 10.1109/CDC.2014.7039994

Uniform stability analysis for time-varying systems applying homogeneity

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