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Stability conditions for some classes of time-varying switched systems. / Platonov, A. V.

в: International Journal of Systems Science, Том 53, № 10, 21.03.2022, стр. 2235-2246.

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

Harvard

Platonov, AV 2022, 'Stability conditions for some classes of time-varying switched systems', International Journal of Systems Science, Том. 53, № 10, стр. 2235-2246. https://doi.org/10.1080/00207721.2022.2049917

APA

Platonov, A. V. (2022). Stability conditions for some classes of time-varying switched systems. International Journal of Systems Science, 53(10), 2235-2246. https://doi.org/10.1080/00207721.2022.2049917

Vancouver

Platonov AV. Stability conditions for some classes of time-varying switched systems. International Journal of Systems Science. 2022 Март 21;53(10):2235-2246. https://doi.org/10.1080/00207721.2022.2049917

Author

Platonov, A. V. / Stability conditions for some classes of time-varying switched systems. в: International Journal of Systems Science. 2022 ; Том 53, № 10. стр. 2235-2246.

BibTeX

@article{069a8b543212424981155bd66faac790,
title = "Stability conditions for some classes of time-varying switched systems",
abstract = "In the paper, some classes of time-varying nonlinear switched systems are considered. The stability problem is investigated. The Lyapunov direct method and the theory of differential inequalities are used. The non-stationary switched comparison equation with hybrid degrees is constructed for the considered system. Switching in the comparison equation can be caused by changing the operating modes, as well as changing non-stationary parameters of the system. Sufficient conditions of the asymptotic and finite-time stability are obtained. The region of attraction for the given equilibrium position is estimated. Some examples are presented to illustrate the results. In particular, some classes of nonlinear mechanical system are studied.",
keywords = "Lyapunov functions, nonlinear differential inequalities, stability, Time-varying switched systems, CRITERIA, DESIGN, STABILIZATION",
author = "Platonov, {A. V.}",
note = "Publisher Copyright: {\textcopyright} 2022 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2022",
month = mar,
day = "21",
doi = "10.1080/00207721.2022.2049917",
language = "English",
volume = "53",
pages = "2235--2246",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor & Francis",
number = "10",

}

RIS

TY - JOUR

T1 - Stability conditions for some classes of time-varying switched systems

AU - Platonov, A. V.

N1 - Publisher Copyright: © 2022 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2022/3/21

Y1 - 2022/3/21

N2 - In the paper, some classes of time-varying nonlinear switched systems are considered. The stability problem is investigated. The Lyapunov direct method and the theory of differential inequalities are used. The non-stationary switched comparison equation with hybrid degrees is constructed for the considered system. Switching in the comparison equation can be caused by changing the operating modes, as well as changing non-stationary parameters of the system. Sufficient conditions of the asymptotic and finite-time stability are obtained. The region of attraction for the given equilibrium position is estimated. Some examples are presented to illustrate the results. In particular, some classes of nonlinear mechanical system are studied.

AB - In the paper, some classes of time-varying nonlinear switched systems are considered. The stability problem is investigated. The Lyapunov direct method and the theory of differential inequalities are used. The non-stationary switched comparison equation with hybrid degrees is constructed for the considered system. Switching in the comparison equation can be caused by changing the operating modes, as well as changing non-stationary parameters of the system. Sufficient conditions of the asymptotic and finite-time stability are obtained. The region of attraction for the given equilibrium position is estimated. Some examples are presented to illustrate the results. In particular, some classes of nonlinear mechanical system are studied.

KW - Lyapunov functions

KW - nonlinear differential inequalities

KW - stability

KW - Time-varying switched systems

KW - CRITERIA

KW - DESIGN

KW - STABILIZATION

UR - http://www.scopus.com/inward/record.url?scp=85126750559&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/285abf86-b6a3-3f0a-af93-589a20f9c8ff/

U2 - 10.1080/00207721.2022.2049917

DO - 10.1080/00207721.2022.2049917

M3 - Article

AN - SCOPUS:85126750559

VL - 53

SP - 2235

EP - 2246

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 10

ER -

ID: 93899935