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On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping. / Александров, Александр Юрьевич; Efimov, Denis V.; Fridman, Emilia.

2023 62nd IEEE Conference on Decision and Control (CDC), Singapore. Institute of Electrical and Electronics Engineers Inc., 2024. стр. 956-961 (Proceedings of the IEEE Conference on Decision and Control).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Александров, АЮ, Efimov, DV & Fridman, E 2024, On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping. в 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore. Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., стр. 956-961, 62nd IEEE Conference on Decision and Control (CDC), 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383764

APA

Александров, А. Ю., Efimov, D. V., & Fridman, E. (2024). On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping. в 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore (стр. 956-961). (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC49753.2023.10383764

Vancouver

Александров АЮ, Efimov DV, Fridman E. On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping. в 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore. Institute of Electrical and Electronics Engineers Inc. 2024. стр. 956-961. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC49753.2023.10383764

Author

Александров, Александр Юрьевич ; Efimov, Denis V. ; Fridman, Emilia. / On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping. 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore. Institute of Electrical and Electronics Engineers Inc., 2024. стр. 956-961 (Proceedings of the IEEE Conference on Decision and Control).

BibTeX

@inproceedings{73ebb97093594e8ebb5f24af35ba3faf,
title = "On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping",
abstract = "For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov- Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.",
author = "Александров, {Александр Юрьевич} and Efimov, {Denis V.} and Emilia Fridman",
year = "2024",
doi = "10.1109/CDC49753.2023.10383764",
language = "English",
isbn = "9798350301243",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "956--961",
booktitle = "2023 62nd IEEE Conference on Decision and Control (CDC), Singapore",
address = "United States",
note = " 62nd IEEE Conference on Decision and Control (CDC), CDC ; Conference date: 13-12-2023 Through 15-12-2023",
url = "https://cdc2023.ieeecss.org/",

}

RIS

TY - GEN

T1 - On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping

AU - Александров, Александр Юрьевич

AU - Efimov, Denis V.

AU - Fridman, Emilia

N1 - Conference code: 62

PY - 2024

Y1 - 2024

N2 - For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov- Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.

AB - For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov- Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.

UR - https://www.mendeley.com/catalogue/01f9b404-ca79-35ba-8d0e-64309665e89b/

U2 - 10.1109/CDC49753.2023.10383764

DO - 10.1109/CDC49753.2023.10383764

M3 - Conference contribution

SN - 9798350301243

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 956

EP - 961

BT - 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 62nd IEEE Conference on Decision and Control (CDC)

Y2 - 13 December 2023 through 15 December 2023

ER -

ID: 116113368