Stability Analysis for Some Classes of Nonlinear Systems with Distributed Delay

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Stability Analysis for Some Classes of Nonlinear Systems with Distributed Delay. / Aleksandrov, A.

в: Siberian Mathematical Journal, Том 65, № 6, 2024, стр. 1246-1258.

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

BibTeX

@article{1a936e49f97145e39b726eab38c0031b,

title = "Stability Analysis for Some Classes of Nonlinear Systems with Distributed Delay",

abstract = "Under study is the stability of Persidskii systems with distributed delay.We assume that the sector-type functionson the right-hand sides of the system are essentially nonlinear.Also, we propose some original construction of the Lyapunov–Krasovskii functionalof use in deriving new asymptotic stability conditions of the zero solution.The approach is applied to the stability analysis of the Lurie indirectcontrol system and a mechanical system with essentially nonlinearpositional forces.Using some development of the averagingmethod, we obtain the conditions that guarantee stability undernonstationary perturbations with zero mean values for the systems under study. {\textcopyright} 2024 Elsevier B.V., All rights reserved.",

keywords = "517.929.4, asymptotic stability, averaging method, decomposition, distributed delay, Lyapunov–Krasovskii functional, nonlinear systems",

author = "A. Aleksandrov",

note = "Export Date: 01 November 2025; Cited By: 1; Correspondence Address: A.Y. Aleksandrov; St. Petersburg State University, St. Petersburg, Russian Federation; email: a.u.aleksandrov@spbu.ru",

year = "2024",

doi = "10.1134/S0037446624060028",

language = "Английский",

volume = "65",

pages = "1246--1258",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "Springer Nature",

number = "6",

}

RIS

TY - JOUR

T1 - Stability Analysis for Some Classes of Nonlinear Systems with Distributed Delay

AU - Aleksandrov, A.

N1 - Export Date: 01 November 2025; Cited By: 1; Correspondence Address: A.Y. Aleksandrov; St. Petersburg State University, St. Petersburg, Russian Federation; email: a.u.aleksandrov@spbu.ru

PY - 2024

Y1 - 2024

N2 - Under study is the stability of Persidskii systems with distributed delay.We assume that the sector-type functionson the right-hand sides of the system are essentially nonlinear.Also, we propose some original construction of the Lyapunov–Krasovskii functionalof use in deriving new asymptotic stability conditions of the zero solution.The approach is applied to the stability analysis of the Lurie indirectcontrol system and a mechanical system with essentially nonlinearpositional forces.Using some development of the averagingmethod, we obtain the conditions that guarantee stability undernonstationary perturbations with zero mean values for the systems under study. © 2024 Elsevier B.V., All rights reserved.

AB - Under study is the stability of Persidskii systems with distributed delay.We assume that the sector-type functionson the right-hand sides of the system are essentially nonlinear.Also, we propose some original construction of the Lyapunov–Krasovskii functionalof use in deriving new asymptotic stability conditions of the zero solution.The approach is applied to the stability analysis of the Lurie indirectcontrol system and a mechanical system with essentially nonlinearpositional forces.Using some development of the averagingmethod, we obtain the conditions that guarantee stability undernonstationary perturbations with zero mean values for the systems under study. © 2024 Elsevier B.V., All rights reserved.

KW - 517.929.4

KW - asymptotic stability

KW - averaging method

KW - decomposition

KW - distributed delay

KW - Lyapunov–Krasovskii functional

KW - nonlinear systems

U2 - 10.1134/S0037446624060028

DO - 10.1134/S0037446624060028

M3 - статья

VL - 65

SP - 1246

EP - 1258

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

ID: 143414948

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