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On the issue of finding of the Lyapunov matrix for a class of linear system with delay. / Chashnikov, Mikhail.

8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 080012.

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

Harvard

Chashnikov, M 2018, On the issue of finding of the Lyapunov matrix for a class of linear system with delay. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. vol. 1959, 080012, American Institute of Physics, International Scientific Conference on Mechanics - Eighth Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034729

APA

Chashnikov, M. (2018). On the issue of finding of the Lyapunov matrix for a class of linear system with delay. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics (Vol. 1959). [080012] American Institute of Physics. https://doi.org/10.1063/1.5034729

Vancouver

Chashnikov M. On the issue of finding of the Lyapunov matrix for a class of linear system with delay. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. Vol. 1959. American Institute of Physics. 2018. 080012 https://doi.org/10.1063/1.5034729

Author

Chashnikov, Mikhail. / On the issue of finding of the Lyapunov matrix for a class of linear system with delay. 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. Vol. 1959 American Institute of Physics, 2018.

BibTeX

@inproceedings{d209c71ecd0f4615bd5dbec6c17b9893,
title = "On the issue of finding of the Lyapunov matrix for a class of linear system with delay",
abstract = "The construction of Lyapunov-Krasovskii functionals for linear time-delay system depends on so-called Lya-punov matrix. We study the problem of finding this matrix by solving the delay-free equations with specific boundary conditions. The special boundary conditions for the delay-free problem are found and it is shown, that the problem of Lyapunov matrix' finding as a solution of the boundary value problem with delay and the delay-free problem are equivalent.",
author = "Mikhail Chashnikov",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034729",
language = "English",
volume = "1959",
editor = "Kustova, {Elena V.} and Leonov, {Gennady A.} and Yushkov, {Mikhail P.} and Morosov, {Nikita F.} and Mekhonoshina, {Mariia A.}",
booktitle = "8th Polyakhov's Reading",
publisher = "American Institute of Physics",
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 - On the issue of finding of the Lyapunov matrix for a class of linear system with delay

AU - Chashnikov, Mikhail

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - The construction of Lyapunov-Krasovskii functionals for linear time-delay system depends on so-called Lya-punov matrix. We study the problem of finding this matrix by solving the delay-free equations with specific boundary conditions. The special boundary conditions for the delay-free problem are found and it is shown, that the problem of Lyapunov matrix' finding as a solution of the boundary value problem with delay and the delay-free problem are equivalent.

AB - The construction of Lyapunov-Krasovskii functionals for linear time-delay system depends on so-called Lya-punov matrix. We study the problem of finding this matrix by solving the delay-free equations with specific boundary conditions. The special boundary conditions for the delay-free problem are found and it is shown, that the problem of Lyapunov matrix' finding as a solution of the boundary value problem with delay and the delay-free problem are equivalent.

UR - http://www.scopus.com/inward/record.url?scp=85047186266&partnerID=8YFLogxK

U2 - 10.1063/1.5034729

DO - 10.1063/1.5034729

M3 - Conference contribution

AN - SCOPUS:85047186266

VL - 1959

BT - 8th Polyakhov's Reading

A2 - Kustova, Elena V.

A2 - Leonov, Gennady A.

A2 - Yushkov, Mikhail P.

A2 - Morosov, Nikita F.

A2 - Mekhonoshina, Mariia A.

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: 37308690