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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. p. 956-961 (Proceedings of the IEEE Conference on Decision and Control).

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

Harvard

Александров, АЮ, Efimov, DV & Fridman, E 2024, On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping. in 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., pp. 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. In 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore (pp. 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. In 2023 62nd IEEE Conference on Decision and Control (CDC), Singapore. Institute of Electrical and Electronics Engineers Inc. 2024. p. 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. pp. 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