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

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

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

Research output: Contribution to journal › Article › peer-review

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.

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