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On local stability analysis for Persidskii systems with power nonlinearities. / Александров, Александр Юрьевич; Efimov, Denis V.

In: Systems and Control Letters, Vol. 204, 106205, 01.10.2025.

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

Harvard

Александров, АЮ & Efimov, DV 2025, 'On local stability analysis for Persidskii systems with power nonlinearities', Systems and Control Letters, vol. 204, 106205. https://doi.org/10.1016/j.sysconle.2025.106205

APA

Александров, А. Ю., & Efimov, D. V. (2025). On local stability analysis for Persidskii systems with power nonlinearities. Systems and Control Letters, 204, [ 106205]. https://doi.org/10.1016/j.sysconle.2025.106205

Vancouver

Александров АЮ, Efimov DV. On local stability analysis for Persidskii systems with power nonlinearities. Systems and Control Letters. 2025 Oct 1;204. 106205. https://doi.org/10.1016/j.sysconle.2025.106205

Author

Александров, Александр Юрьевич ; Efimov, Denis V. / On local stability analysis for Persidskii systems with power nonlinearities. In: Systems and Control Letters. 2025 ; Vol. 204.

BibTeX

@article{c3931d8e46184cc980579ed16e72cd61,
title = "On local stability analysis for Persidskii systems with power nonlinearities",
abstract = "Considering a conventional Persidskii system with power nonlinearities, an approach is presented for a local Lyapunov function design, whose applicability conditions are less restrictive than for the standard global Lyapunov function, and which provides a tighter bounds on the convergence rates for the state variables. Using the singular perturbation theory, these applicability conditions are further refined. The theoretical findings are illustrated by simulations for several examples.",
keywords = "Diagonal stability, Persidskii systems, Singular perturbations",
author = "Александров, {Александр Юрьевич} and Efimov, {Denis V.}",
year = "2025",
month = oct,
day = "1",
doi = "10.1016/j.sysconle.2025.106205",
language = "English",
volume = "204",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On local stability analysis for Persidskii systems with power nonlinearities

AU - Александров, Александр Юрьевич

AU - Efimov, Denis V.

PY - 2025/10/1

Y1 - 2025/10/1

N2 - Considering a conventional Persidskii system with power nonlinearities, an approach is presented for a local Lyapunov function design, whose applicability conditions are less restrictive than for the standard global Lyapunov function, and which provides a tighter bounds on the convergence rates for the state variables. Using the singular perturbation theory, these applicability conditions are further refined. The theoretical findings are illustrated by simulations for several examples.

AB - Considering a conventional Persidskii system with power nonlinearities, an approach is presented for a local Lyapunov function design, whose applicability conditions are less restrictive than for the standard global Lyapunov function, and which provides a tighter bounds on the convergence rates for the state variables. Using the singular perturbation theory, these applicability conditions are further refined. The theoretical findings are illustrated by simulations for several examples.

KW - Diagonal stability

KW - Persidskii systems

KW - Singular perturbations

UR - https://www.sciencedirect.com/science/article/pii/S0167691125001872?via%3Dihub

UR - https://www.mendeley.com/catalogue/6e4d764c-b273-38c2-9487-843ebdd29ea3/

U2 - 10.1016/j.sysconle.2025.106205

DO - 10.1016/j.sysconle.2025.106205

M3 - Article

VL - 204

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

M1 - 106205

ER -

ID: 140977167