Standard

Stability analysis of gyroscopic systems with delay via decomposition. / Aleksandrov, A. Yu; Zhabko, A. P.; Chen, Y.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ed. / E Kustova; G Leonov; N Morosov; M Yushkov; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 080002 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Aleksandrov, AY, Zhabko, AP & Chen, Y 2018, Stability analysis of gyroscopic systems with delay via decomposition. in E Kustova, G Leonov, N Morosov, M Yushkov & M Mekhonoshina (eds), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. vol. 1959, 080002, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics - Eighth Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034719

APA

Aleksandrov, A. Y., Zhabko, A. P., & Chen, Y. (2018). Stability analysis of gyroscopic systems with delay via decomposition. In E. Kustova, G. Leonov, N. Morosov, M. Yushkov, & M. Mekhonoshina (Eds.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics (Vol. 1959). [080002] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034719

Vancouver

Aleksandrov AY, Zhabko AP, Chen Y. Stability analysis of gyroscopic systems with delay via decomposition. In Kustova E, Leonov G, Morosov N, Yushkov M, Mekhonoshina M, editors, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Vol. 1959. American Institute of Physics. 2018. 080002. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034719

Author

Aleksandrov, A. Yu ; Zhabko, A. P. ; Chen, Y. / Stability analysis of gyroscopic systems with delay via decomposition. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. editor / E Kustova ; G Leonov ; N Morosov ; M Yushkov ; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{4f34f8c457bf4540b98fe153b3ddc8b1,
title = "Stability analysis of gyroscopic systems with delay via decomposition",
abstract = "A mechanical system describing by the second order linear differential equations with a positive parameter at the velocity forces and with time delay in the positional forces is studied. Using the decomposition method and Lyapunov-Krasovskii functionals, conditions are obtained under which from the asymptotic stability of two auxiliary first order subsystems it follows that, for sufficiently large values of the parameter, the original system is also asymptotically stable. Moreover, it is shown that the proposed approach can be applied to the stability investigation of linear gyroscopic systems with switched positional forces.",
keywords = "MECHANICAL SYSTEMS, HYBRID SYSTEMS",
author = "Aleksandrov, {A. Yu} and Zhabko, {A. P.} and Y. Chen",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034719",
language = "English",
isbn = "9780735416604",
volume = "1959",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "E Kustova and G Leonov and N Morosov and M Yushkov and M Mekhonoshina",
booktitle = "EIGHTH POLYAKHOV'S READING",
address = "United States",
note = "International Scientific Conference on Mechanics - Eighth Polyakhov's Reading : 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",
url = "https://events.spbu.ru/events/polyakhov_readings, http://nanomat.spbu.ru/en/node/175, http://nanomat.spbu.ru/ru/node/192, http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya",

}

RIS

TY - GEN

T1 - Stability analysis of gyroscopic systems with delay via decomposition

AU - Aleksandrov, A. Yu

AU - Zhabko, A. P.

AU - Chen, Y.

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - A mechanical system describing by the second order linear differential equations with a positive parameter at the velocity forces and with time delay in the positional forces is studied. Using the decomposition method and Lyapunov-Krasovskii functionals, conditions are obtained under which from the asymptotic stability of two auxiliary first order subsystems it follows that, for sufficiently large values of the parameter, the original system is also asymptotically stable. Moreover, it is shown that the proposed approach can be applied to the stability investigation of linear gyroscopic systems with switched positional forces.

AB - A mechanical system describing by the second order linear differential equations with a positive parameter at the velocity forces and with time delay in the positional forces is studied. Using the decomposition method and Lyapunov-Krasovskii functionals, conditions are obtained under which from the asymptotic stability of two auxiliary first order subsystems it follows that, for sufficiently large values of the parameter, the original system is also asymptotically stable. Moreover, it is shown that the proposed approach can be applied to the stability investigation of linear gyroscopic systems with switched positional forces.

KW - MECHANICAL SYSTEMS

KW - HYBRID SYSTEMS

UR - http://www.mendeley.com/research/stability-analysis-gyroscopic-systems-delay-via-decomposition

U2 - 10.1063/1.5034719

DO - 10.1063/1.5034719

M3 - Conference contribution

AN - SCOPUS:85047219289

SN - 9780735416604

VL - 1959

T3 - AIP Conference Proceedings

BT - EIGHTH POLYAKHOV'S READING

A2 - Kustova, E

A2 - Leonov, G

A2 - Morosov, N

A2 - Yushkov, M

A2 - Mekhonoshina, M

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -

ID: 29125034