Standard

The problem of cycle-slipping for synchronization systems with external disturbances. / Smirnova, V.B. ; Proskurnikov, A.V. ; Utina, N. V.

9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»: Proceedings. M. : Издательство «Перо», 2019. p. 270-275.

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

Harvard

Smirnova, VB, Proskurnikov, AV & Utina, NV 2019, The problem of cycle-slipping for synchronization systems with external disturbances. in 9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»: Proceedings. Издательство «Перо», M., pp. 270-275, The 9th International Scientific Conference on Physics and Control , Moscow, Russian Federation, 8/09/19.

APA

Smirnova, V. B., Proskurnikov, A. V., & Utina, N. V. (2019). The problem of cycle-slipping for synchronization systems with external disturbances. In 9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»: Proceedings (pp. 270-275). Издательство «Перо».

Vancouver

Smirnova VB, Proskurnikov AV, Utina NV. The problem of cycle-slipping for synchronization systems with external disturbances. In 9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»: Proceedings. M.: Издательство «Перо». 2019. p. 270-275

Author

Smirnova, V.B. ; Proskurnikov, A.V. ; Utina, N. V. / The problem of cycle-slipping for synchronization systems with external disturbances. 9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»: Proceedings. M. : Издательство «Перо», 2019. pp. 270-275

BibTeX

@inproceedings{9a5e46a1ca524b1a88f4fd934f568518,
title = "The problem of cycle-slipping for synchronization systems with external disturbances",
abstract = "The paper deals with a multidimensional control system, composed of a stable linear block and periodic nonlinear feedback. Such systems are called synchronization or pendulum-like systems. Synchronization systems often have multiple equilibria. The central problem concerned with dynamics of synchronization system is the convergence of all solutions to equilibria points (gradient-like behavior). For gradient-like systems the problem of cycle-slipping arises, which means that the solution may leave the basin of the nearest equilibrium and converge to another equilibrium point. This paper is addressed to synchronization systems with external disturbances. By means of Lyapunov periodic functions and Kalman-YakubovichPopov lemma the frequency-algebraic estimates for the number of slipped cycles are offered.",
keywords = "periodic nonlinearity, stability, Lyapunov function",
author = "V.B. Smirnova and A.V. Proskurnikov and Utina, {N. V.}",
year = "2019",
month = sep,
language = "English",
isbn = "978-5-00150-470-2 ",
pages = "270--275",
booktitle = "9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»:",
publisher = "Издательство «Перо»",
address = "Russian Federation",
note = "The 9th International Scientific Conference on Physics and Control , PhysCon2019 ; Conference date: 08-09-2019 Through 11-09-2019",

}

RIS

TY - GEN

T1 - The problem of cycle-slipping for synchronization systems with external disturbances

AU - Smirnova, V.B.

AU - Proskurnikov, A.V.

AU - Utina, N. V.

PY - 2019/9

Y1 - 2019/9

N2 - The paper deals with a multidimensional control system, composed of a stable linear block and periodic nonlinear feedback. Such systems are called synchronization or pendulum-like systems. Synchronization systems often have multiple equilibria. The central problem concerned with dynamics of synchronization system is the convergence of all solutions to equilibria points (gradient-like behavior). For gradient-like systems the problem of cycle-slipping arises, which means that the solution may leave the basin of the nearest equilibrium and converge to another equilibrium point. This paper is addressed to synchronization systems with external disturbances. By means of Lyapunov periodic functions and Kalman-YakubovichPopov lemma the frequency-algebraic estimates for the number of slipped cycles are offered.

AB - The paper deals with a multidimensional control system, composed of a stable linear block and periodic nonlinear feedback. Such systems are called synchronization or pendulum-like systems. Synchronization systems often have multiple equilibria. The central problem concerned with dynamics of synchronization system is the convergence of all solutions to equilibria points (gradient-like behavior). For gradient-like systems the problem of cycle-slipping arises, which means that the solution may leave the basin of the nearest equilibrium and converge to another equilibrium point. This paper is addressed to synchronization systems with external disturbances. By means of Lyapunov periodic functions and Kalman-YakubovichPopov lemma the frequency-algebraic estimates for the number of slipped cycles are offered.

KW - periodic nonlinearity

KW - stability

KW - Lyapunov function

UR - http://www.spsl.nsc.ru/FullText/konfe/PhysCon2019.pdf

M3 - Conference contribution

SN - 978-5-00150-470-2

SP - 270

EP - 275

BT - 9th International Conference on Physics and Control (PhysCon 2019) September 8—11, 2019, Innopolis, Russia»:

PB - Издательство «Перо»

CY - M.

T2 - The 9th International Scientific Conference on Physics and Control

Y2 - 8 September 2019 through 11 September 2019

ER -

ID: 50933159