Stability and robustness of homogeneous differential inclusions

Arie Levant; Denis Efimov; Andrey Polyakov; Wilfrid Perruquetti

doi:10.1109/CDC.2016.7799394

Stability and robustness of homogeneous differential inclusions

Arie Levant, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti

School of Mathematical Sciences

Institut national de recherche en informatique et en automatique
St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO)

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

25 Scopus citations

Abstract

The known results on asymptotic stability of homogeneous differential inclusions with negative homogeneity degrees and their accuracy in the presence of noises and delays are extended to arbitrary homogeneity degrees. Discretization issues are considered, which include explicit and implicit Euler integration schemes. Computer simulation illustrates the theoretical results.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7288-7293
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7799394
State	Published - 27 Dec 2016
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016

Publication series

Name	2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16

Access to Document

10.1109/CDC.2016.7799394

Cite this

Levant, A., Efimov, D., Polyakov, A., & Perruquetti, W. (2016). Stability and robustness of homogeneous differential inclusions. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 7288-7293). Article 7799394 (2016 IEEE 55th Conference on Decision and Control, CDC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7799394

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author = "Arie Levant and Denis Efimov and Andrey Polyakov and Wilfrid Perruquetti",

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Levant, A, Efimov, D, Polyakov, A & Perruquetti, W 2016, Stability and robustness of homogeneous differential inclusions. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7799394, 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 7288-7293, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7799394

Stability and robustness of homogeneous differential inclusions. / Levant, Arie; Efimov, Denis; Polyakov, Andrey et al.
2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 7288-7293 7799394 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

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

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Stability and robustness of homogeneous differential inclusions

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