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On local ISS of nonlinear second-order time-delay systems without damping. / Александров, Александр Юрьевич; Efimov, Denis V.; Fridman, E.

In: International Journal of Robust and Nonlinear Control, Vol. 34, No. 10, 10.07.2024, p. 6329-6345.

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

Harvard

Александров, АЮ, Efimov, DV & Fridman, E 2024, 'On local ISS of nonlinear second-order time-delay systems without damping', International Journal of Robust and Nonlinear Control, vol. 34, no. 10, pp. 6329-6345. https://doi.org/10.1002/rnc.7227

APA

Александров, А. Ю., Efimov, D. V., & Fridman, E. (2024). On local ISS of nonlinear second-order time-delay systems without damping. International Journal of Robust and Nonlinear Control, 34(10), 6329-6345. https://doi.org/10.1002/rnc.7227

Vancouver

Александров АЮ, Efimov DV, Fridman E. On local ISS of nonlinear second-order time-delay systems without damping. International Journal of Robust and Nonlinear Control. 2024 Jul 10;34(10):6329-6345. https://doi.org/10.1002/rnc.7227

Author

Александров, Александр Юрьевич ; Efimov, Denis V. ; Fridman, E. / On local ISS of nonlinear second-order time-delay systems without damping. In: International Journal of Robust and Nonlinear Control. 2024 ; Vol. 34, No. 10. pp. 6329-6345.

BibTeX

@article{012ccd9584854f42924fe249816e97b5,
title = "On local ISS of nonlinear second-order time-delay systems without damping",
abstract = "For a second-order system with vector position, either constant or time-varying delays, and a power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local input-to-state stability are proposed. The result is based on application of Lyapunov-Razumikhin approach, for which new time estimates on decay of solutions are obtained. The approach is extended to attitude stabilization of a rigid body, and it is illustrated by simulations.",
keywords = "Lyapunov-Razumikhin function, input-to-state stability, time-delay systems",
author = "Александров, {Александр Юрьевич} and Efimov, {Denis V.} and E. Fridman",
year = "2024",
month = jul,
day = "10",
doi = "10.1002/rnc.7227",
language = "English",
volume = "34",
pages = "6329--6345",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "Wiley-Blackwell",
number = "10",

}

RIS

TY - JOUR

T1 - On local ISS of nonlinear second-order time-delay systems without damping

AU - Александров, Александр Юрьевич

AU - Efimov, Denis V.

AU - Fridman, E.

PY - 2024/7/10

Y1 - 2024/7/10

N2 - For a second-order system with vector position, either constant or time-varying delays, and a power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local input-to-state stability are proposed. The result is based on application of Lyapunov-Razumikhin approach, for which new time estimates on decay of solutions are obtained. The approach is extended to attitude stabilization of a rigid body, and it is illustrated by simulations.

AB - For a second-order system with vector position, either constant or time-varying delays, and a power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local input-to-state stability are proposed. The result is based on application of Lyapunov-Razumikhin approach, for which new time estimates on decay of solutions are obtained. The approach is extended to attitude stabilization of a rigid body, and it is illustrated by simulations.

KW - Lyapunov-Razumikhin function

KW - input-to-state stability

KW - time-delay systems

UR - https://www.mendeley.com/catalogue/a668a4f4-fda5-32ae-a2c1-02544305fe0f/

U2 - 10.1002/rnc.7227

DO - 10.1002/rnc.7227

M3 - Article

VL - 34

SP - 6329

EP - 6345

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 10

ER -

ID: 120140350