The study of periodic oscillations and global stability in the Tal' model via the Tsypkin method and the LPRS method

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The study of periodic oscillations and global stability in the Tal' model via the Tsypkin method and the LPRS method. / Kuznetsov, N. V.; Akimova, E. D.; Mokaev, R. N.; Morozova, M. N.

In: Journal of Physics: Conference Series, Vol. 1864, No. 1, 012064, 20.05.2021.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{e36558414e664995a80093301eacf527,

title = "The study of periodic oscillations and global stability in the Tal' model via the Tsypkin method and the LPRS method",

abstract = "Analysis of the phase space of discontinuous systems via classical methods of the theory of oscillations can be quite a difficult task. Moreover, in some cases this analysis is impossible to perform. Due to the emergence of frequency methods for analysis of discontinuous systems and the development of various analytical-numerical methods, it has become possible to give a more accurate description of the phase space of systems with discontinuous right-hand sides. The present report tries to adopt to the Watt's governor model that takes account of the self-regulation of the object and the derivative action. We compare the results with those obtained by rigorous analytical method.",

author = "Kuznetsov, {N. V.} and Akimova, {E. D.} and Mokaev, {R. N.} and Morozova, {M. N.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 13th Multiconference on Control Problems, MCCP 2020 ; Conference date: 06-10-2020 Through 08-10-2020",

year = "2021",

month = may,

day = "20",

doi = "10.1088/1742-6596/1864/1/012064",

language = "English",

volume = "1864",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

url = "http://www.elektropribor.spb.ru/nauchnaya-deyatelnost/xiii-mkpu/index3.php",

}

RIS

TY - JOUR

T1 - The study of periodic oscillations and global stability in the Tal' model via the Tsypkin method and the LPRS method

AU - Kuznetsov, N. V.

AU - Akimova, E. D.

AU - Mokaev, R. N.

AU - Morozova, M. N.

N1 - Conference code: 13

PY - 2021/5/20

Y1 - 2021/5/20

N2 - Analysis of the phase space of discontinuous systems via classical methods of the theory of oscillations can be quite a difficult task. Moreover, in some cases this analysis is impossible to perform. Due to the emergence of frequency methods for analysis of discontinuous systems and the development of various analytical-numerical methods, it has become possible to give a more accurate description of the phase space of systems with discontinuous right-hand sides. The present report tries to adopt to the Watt's governor model that takes account of the self-regulation of the object and the derivative action. We compare the results with those obtained by rigorous analytical method.

AB - Analysis of the phase space of discontinuous systems via classical methods of the theory of oscillations can be quite a difficult task. Moreover, in some cases this analysis is impossible to perform. Due to the emergence of frequency methods for analysis of discontinuous systems and the development of various analytical-numerical methods, it has become possible to give a more accurate description of the phase space of systems with discontinuous right-hand sides. The present report tries to adopt to the Watt's governor model that takes account of the self-regulation of the object and the derivative action. We compare the results with those obtained by rigorous analytical method.

UR - http://www.scopus.com/inward/record.url?scp=85107393018&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1864/1/012064

DO - 10.1088/1742-6596/1864/1/012064

M3 - Conference article

AN - SCOPUS:85107393018

VL - 1864

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012064

T2 - 13th Multiconference on Control Problems, MCCP 2020

Y2 - 6 October 2020 through 8 October 2020

ER -

ID: 78768198