Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching

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Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching. / Aleksandrov, Alexander Yu ; Stepenko, Nikolai A.

In: Journal of Applied and Computational Mechanics, Vol. 8, No. 3, 07.2022, p. 1113-1119.

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

BibTeX

@article{562c34978a5941bfbe0d64aa3e49d451,

title = "Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching",

abstract = "With the aid of the decomposition method and the Lyapunov direct method, stability of linear gyroscopic systems with switching and a constant delay in positional forces is investigated. The cases of synchronous and asynchronous switching are studied. The efficiency of the application of the Razumikhin approach and Lyapunov—Krasovskii functionals for the stability analysis of such systems is compared. The results of a numerical simulation are presented to illustrate the obtained theoretical conclusions.",

keywords = "Asymptotic stability, Decomposition, Delay, Gyroscopic systems, Switching",

author = "Aleksandrov, {Alexander Yu} and Stepenko, {Nikolai A.}",

note = "Publisher Copyright: {\textcopyright} 2022. Published by Shahid Chamran University of Ahvaz",

year = "2022",

month = jul,

doi = "10.22055/jacm.2022.39514.3423",

language = "English",

volume = "8",

pages = "1113--1119",

journal = "Journal of Applied and Computational Mechanics",

issn = "2383-4536",

publisher = "Shahid Chamran University of Ahvaz",

number = "3",

}

RIS

TY - JOUR

T1 - Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching

AU - Aleksandrov, Alexander Yu

AU - Stepenko, Nikolai A.

PY - 2022/7

Y1 - 2022/7

N2 - With the aid of the decomposition method and the Lyapunov direct method, stability of linear gyroscopic systems with switching and a constant delay in positional forces is investigated. The cases of synchronous and asynchronous switching are studied. The efficiency of the application of the Razumikhin approach and Lyapunov—Krasovskii functionals for the stability analysis of such systems is compared. The results of a numerical simulation are presented to illustrate the obtained theoretical conclusions.

AB - With the aid of the decomposition method and the Lyapunov direct method, stability of linear gyroscopic systems with switching and a constant delay in positional forces is investigated. The cases of synchronous and asynchronous switching are studied. The efficiency of the application of the Razumikhin approach and Lyapunov—Krasovskii functionals for the stability analysis of such systems is compared. The results of a numerical simulation are presented to illustrate the obtained theoretical conclusions.

KW - Asymptotic stability

KW - Decomposition

KW - Delay

KW - Gyroscopic systems

KW - Switching

UR - http://www.scopus.com/inward/record.url?scp=85134209498&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/cd865ce6-4cc3-386d-8c74-d3cbfb3c1828/

U2 - 10.22055/jacm.2022.39514.3423

DO - 10.22055/jacm.2022.39514.3423

M3 - Article

AN - SCOPUS:85134209498

VL - 8

SP - 1113

EP - 1119

JO - Journal of Applied and Computational Mechanics

JF - Journal of Applied and Computational Mechanics

SN - 2383-4536

IS - 3

ER -

ID: 98155747