Stability analysis of Persidskii time-delay systems with synchronous and asynchronous switching

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Stability analysis of Persidskii time-delay systems with synchronous and asynchronous switching. / Aleksandrov, Alexander ; Andriyanova, Natalya; Efimov, Denis.

In: International Journal of Robust and Nonlinear Control, Vol. 32, No. 6, 04.2022, p. 3266-3280.

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

BibTeX

@article{40e09b8e808d40219e6c4ca1f5a0fac1,

title = "Stability analysis of Persidskii time-delay systems with synchronous and asynchronous switching",

abstract = "In this article, the stability of switched time-delay Persidskii systems is studied. Both cases of synchronous and asynchronous commutation are considered. A comparison of stability conditions obtained with the aid of Lyapunov–Razumikhin and Lyapunov–Krasovskii approaches is provided. The developed theory is applied to the stability analysis of mechanical systems with linear velocity forces and switched nonlinear positional ones.",

keywords = "asymptotic stability, delay, Lyapunov–Krasovskii functional, Razumikhin approach, sector nonlinearity, switched system, NEURAL-NETWORKS, sector nonlinearity, Lyapunov-Krasovskii functional",

author = "Alexander Aleksandrov and Natalya Andriyanova and Denis Efimov",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons Ltd.",

year = "2022",

month = apr,

doi = "10.1002/rnc.5660",

language = "English",

volume = "32",

pages = "3266--3280",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "Wiley-Blackwell",

number = "6",

}

RIS

TY - JOUR

T1 - Stability analysis of Persidskii time-delay systems with synchronous and asynchronous switching

AU - Aleksandrov, Alexander

AU - Andriyanova, Natalya

AU - Efimov, Denis

PY - 2022/4

Y1 - 2022/4

N2 - In this article, the stability of switched time-delay Persidskii systems is studied. Both cases of synchronous and asynchronous commutation are considered. A comparison of stability conditions obtained with the aid of Lyapunov–Razumikhin and Lyapunov–Krasovskii approaches is provided. The developed theory is applied to the stability analysis of mechanical systems with linear velocity forces and switched nonlinear positional ones.

AB - In this article, the stability of switched time-delay Persidskii systems is studied. Both cases of synchronous and asynchronous commutation are considered. A comparison of stability conditions obtained with the aid of Lyapunov–Razumikhin and Lyapunov–Krasovskii approaches is provided. The developed theory is applied to the stability analysis of mechanical systems with linear velocity forces and switched nonlinear positional ones.

KW - asymptotic stability

KW - delay

KW - Lyapunov–Krasovskii functional

KW - Razumikhin approach

KW - sector nonlinearity

KW - switched system

KW - NEURAL-NETWORKS

KW - sector nonlinearity

KW - Lyapunov-Krasovskii functional

UR - http://www.scopus.com/inward/record.url?scp=85126459538&partnerID=8YFLogxK

UR - https://proxy.library.spbu.ru:2150/doi/10.1002/rnc.5660

UR - https://www.mendeley.com/catalogue/d552e204-e7e9-3d4e-afdc-1c2ff89059d7/

U2 - 10.1002/rnc.5660

DO - 10.1002/rnc.5660

M3 - Article

AN - SCOPUS:85126459538

VL - 32

SP - 3266

EP - 3280

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 6

ER -

ID: 93753152