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Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay. / Александров, Александр Юрьевич; Efimov, Denis V.; Fridman, Emilia.

в: IEEE Transactions on Automatic Control, Том 70, № 12, 27.06.2025, стр. 8368-8374.

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

Harvard

Александров, АЮ, Efimov, DV & Fridman, E 2025, 'Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay', IEEE Transactions on Automatic Control, Том. 70, № 12, стр. 8368-8374. https://doi.org/10.1109/tac.2025.3583986

APA

Александров, А. Ю., Efimov, D. V., & Fridman, E. (2025). Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay. IEEE Transactions on Automatic Control, 70(12), 8368-8374. https://doi.org/10.1109/tac.2025.3583986

Vancouver

Александров АЮ, Efimov DV, Fridman E. Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay. IEEE Transactions on Automatic Control. 2025 Июнь 27;70(12): 8368-8374. https://doi.org/10.1109/tac.2025.3583986

Author

Александров, Александр Юрьевич ; Efimov, Denis V. ; Fridman, Emilia. / Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay. в: IEEE Transactions on Automatic Control. 2025 ; Том 70, № 12. стр. 8368-8374.

BibTeX

@article{feea9ed2955644e99605528f9bb26ead,
title = "Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay",
abstract = "The problems of stability and stabilization are addressed for a class of nonlinear mechanical systems with distributed delays. Assuming that potential and kinetic energy functions are homogeneous of different degrees, it is shown that the global asymptotic stability of the zero solution for an auxiliary delay-free nonlinear system implies the local asymptotic stability for the original model with distributed delay. The influence of additional nonlinear and time-varying perturbations is investigated using the averaging techniques. The results are obtained applying the Lyapunov–Krasovskii approach, and next extended via the Lyapunov–Razumikhin method to the case with negligible dissipation. The efficiency of the proposed theory is illustrated by solving the problem of a rigid body stabilization.",
keywords = "Delay systems, robust control, robust stability",
author = "Александров, {Александр Юрьевич} and Efimov, {Denis V.} and Emilia Fridman",
year = "2025",
month = jun,
day = "27",
doi = "10.1109/tac.2025.3583986",
language = "English",
volume = "70",
pages = " 8368--8374",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "12",

}

RIS

TY - JOUR

T1 - Robust Stability and Stabilization of Nonlinear Mechanical Systems With Distributed Delay

AU - Александров, Александр Юрьевич

AU - Efimov, Denis V.

AU - Fridman, Emilia

PY - 2025/6/27

Y1 - 2025/6/27

N2 - The problems of stability and stabilization are addressed for a class of nonlinear mechanical systems with distributed delays. Assuming that potential and kinetic energy functions are homogeneous of different degrees, it is shown that the global asymptotic stability of the zero solution for an auxiliary delay-free nonlinear system implies the local asymptotic stability for the original model with distributed delay. The influence of additional nonlinear and time-varying perturbations is investigated using the averaging techniques. The results are obtained applying the Lyapunov–Krasovskii approach, and next extended via the Lyapunov–Razumikhin method to the case with negligible dissipation. The efficiency of the proposed theory is illustrated by solving the problem of a rigid body stabilization.

AB - The problems of stability and stabilization are addressed for a class of nonlinear mechanical systems with distributed delays. Assuming that potential and kinetic energy functions are homogeneous of different degrees, it is shown that the global asymptotic stability of the zero solution for an auxiliary delay-free nonlinear system implies the local asymptotic stability for the original model with distributed delay. The influence of additional nonlinear and time-varying perturbations is investigated using the averaging techniques. The results are obtained applying the Lyapunov–Krasovskii approach, and next extended via the Lyapunov–Razumikhin method to the case with negligible dissipation. The efficiency of the proposed theory is illustrated by solving the problem of a rigid body stabilization.

KW - Delay systems

KW - robust control

KW - robust stability

UR - https://ieeexplore.ieee.org/document/11054283

UR - https://www.mendeley.com/catalogue/d0d02fef-a3e1-3f96-a1e4-08535733ef94/

U2 - 10.1109/tac.2025.3583986

DO - 10.1109/tac.2025.3583986

M3 - Article

VL - 70

SP - 8368

EP - 8374

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 12

ER -

ID: 145325802