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On input‐to‐state stability Lyapunov functions for mechanical systems. / Александров, Александр Юрьевич; Ефимов, Денис; Дашковский, Сергей.

In: International Journal of Robust and Nonlinear Control, Vol. 33, No. 4, 10.03.2023, p. 2902-2912.

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

Harvard

Александров, АЮ, Ефимов, Д & Дашковский, С 2023, 'On input‐to‐state stability Lyapunov functions for mechanical systems', International Journal of Robust and Nonlinear Control, vol. 33, no. 4, pp. 2902-2912. https://doi.org/10.1002/rnc.6541

APA

Александров, А. Ю., Ефимов, Д., & Дашковский, С. (2023). On input‐to‐state stability Lyapunov functions for mechanical systems. International Journal of Robust and Nonlinear Control, 33(4), 2902-2912. https://doi.org/10.1002/rnc.6541

Vancouver

Александров АЮ, Ефимов Д, Дашковский С. On input‐to‐state stability Lyapunov functions for mechanical systems. International Journal of Robust and Nonlinear Control. 2023 Mar 10;33(4):2902-2912. https://doi.org/10.1002/rnc.6541

Author

Александров, Александр Юрьевич ; Ефимов, Денис ; Дашковский, Сергей. / On input‐to‐state stability Lyapunov functions for mechanical systems. In: International Journal of Robust and Nonlinear Control. 2023 ; Vol. 33, No. 4. pp. 2902-2912.

BibTeX

@article{3e5a630968b14e829bdf157b99c37915,
title = "On input‐to‐state stability Lyapunov functions for mechanical systems",
abstract = "For two canonical models of mechanical systems with disturbances presented by Rayleigh- and Li{\'e}nard-type equations, several designs of Lyapunov functions are investigated. Under given restrictions, the existence of these functions implies global or local input-to-state stability property for the systems. The proposed stability conditions are constructive, which is demonstrated in applications.",
keywords = "Input-to-state stability, Lyapunov function, Mechanical systems",
author = "Александров, {Александр Юрьевич} and Денис Ефимов and Сергей Дашковский",
year = "2023",
month = mar,
day = "10",
doi = "10.1002/rnc.6541",
language = "English",
volume = "33",
pages = "2902--2912",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "Wiley-Blackwell",
number = "4",

}

RIS

TY - JOUR

T1 - On input‐to‐state stability Lyapunov functions for mechanical systems

AU - Александров, Александр Юрьевич

AU - Ефимов, Денис

AU - Дашковский, Сергей

PY - 2023/3/10

Y1 - 2023/3/10

N2 - For two canonical models of mechanical systems with disturbances presented by Rayleigh- and Liénard-type equations, several designs of Lyapunov functions are investigated. Under given restrictions, the existence of these functions implies global or local input-to-state stability property for the systems. The proposed stability conditions are constructive, which is demonstrated in applications.

AB - For two canonical models of mechanical systems with disturbances presented by Rayleigh- and Liénard-type equations, several designs of Lyapunov functions are investigated. Under given restrictions, the existence of these functions implies global or local input-to-state stability property for the systems. The proposed stability conditions are constructive, which is demonstrated in applications.

KW - Input-to-state stability

KW - Lyapunov function

KW - Mechanical systems

UR - https://www.mendeley.com/catalogue/41498091-9e78-33fe-87b0-7f054d622d1f/

U2 - 10.1002/rnc.6541

DO - 10.1002/rnc.6541

M3 - Article

VL - 33

SP - 2902

EP - 2912

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 4

ER -

ID: 102713022