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Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type. / Alexandrova, Irina; Zhabko, Alexey P.

в: International Journal of Robust and Nonlinear Control, 07.07.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Alexandrova, I & Zhabko, AP 2021, 'Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type', International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.5684

APA

Alexandrova, I., & Zhabko, A. P. (2021). Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type. International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.5684

Vancouver

Alexandrova I, Zhabko AP. Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type. International Journal of Robust and Nonlinear Control. 2021 Июль 7. https://doi.org/10.1002/rnc.5684

Author

Alexandrova, Irina ; Zhabko, Alexey P. / Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type. в: International Journal of Robust and Nonlinear Control. 2021.

BibTeX

@article{e142a445210d49b8acd1735822f8d754,
title = "Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type",
abstract = "In this article, we present a general construction of Lyapunov-Krasovskii functionals for a class of neutral-type time delay systems with a linear difference part and homogeneous right-hand sides of degree strictly greater than one. Under an assumption that the corresponding difference matrix equation as well as a system with zero delays are asymptotically stable, the functionals allow proving delay-independent asymptotic stability. They are based on the Lyapunov functions of the corresponding delay free systems and constitute a generalization of constructions presented recently for homogeneous systems of retarded type. The functionals are applied to the robustness analysis with respect to uncertainties at the right-hand sides and at the difference term as well.",
keywords = "homogeneous functions, Lyapunov-Krasovskii functionals, robust stability, systems of neutral type, time delays, INDEPENDENT STABILITY, Lyapunov–Krasovskii functionals",
author = "Irina Alexandrova and Zhabko, {Alexey P.}",
note = "Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons Ltd.",
year = "2021",
month = jul,
day = "7",
doi = "10.1002/rnc.5684",
language = "English",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "Wiley-Blackwell",

}

RIS

TY - JOUR

T1 - Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type

AU - Alexandrova, Irina

AU - Zhabko, Alexey P.

N1 - Publisher Copyright: © 2021 John Wiley & Sons Ltd.

PY - 2021/7/7

Y1 - 2021/7/7

N2 - In this article, we present a general construction of Lyapunov-Krasovskii functionals for a class of neutral-type time delay systems with a linear difference part and homogeneous right-hand sides of degree strictly greater than one. Under an assumption that the corresponding difference matrix equation as well as a system with zero delays are asymptotically stable, the functionals allow proving delay-independent asymptotic stability. They are based on the Lyapunov functions of the corresponding delay free systems and constitute a generalization of constructions presented recently for homogeneous systems of retarded type. The functionals are applied to the robustness analysis with respect to uncertainties at the right-hand sides and at the difference term as well.

AB - In this article, we present a general construction of Lyapunov-Krasovskii functionals for a class of neutral-type time delay systems with a linear difference part and homogeneous right-hand sides of degree strictly greater than one. Under an assumption that the corresponding difference matrix equation as well as a system with zero delays are asymptotically stable, the functionals allow proving delay-independent asymptotic stability. They are based on the Lyapunov functions of the corresponding delay free systems and constitute a generalization of constructions presented recently for homogeneous systems of retarded type. The functionals are applied to the robustness analysis with respect to uncertainties at the right-hand sides and at the difference term as well.

KW - homogeneous functions

KW - Lyapunov-Krasovskii functionals

KW - robust stability

KW - systems of neutral type

KW - time delays

KW - INDEPENDENT STABILITY

KW - Lyapunov–Krasovskii functionals

UR - http://www.scopus.com/inward/record.url?scp=85109361915&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/81344146-d07e-3d1a-ae0b-9f98ee57f313/

U2 - 10.1002/rnc.5684

DO - 10.1002/rnc.5684

M3 - Article

AN - SCOPUS:85109361915

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

ER -

ID: 85683455