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On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients. / Platonov, Alexey .

Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Springer Nature, 2022. p. 21-27 (Lecture Notes in Control and Information Sciences - Proceedings).

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

Harvard

Platonov, A 2022, On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients. in Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Lecture Notes in Control and Information Sciences - Proceedings, Springer Nature, pp. 21-27, Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov, Saint Petersburg, Russian Federation, 5/10/20. https://doi.org/10.1007/978-3-030-87966-2_3

APA

Platonov, A. (2022). On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients. In Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov (pp. 21-27). (Lecture Notes in Control and Information Sciences - Proceedings). Springer Nature. https://doi.org/10.1007/978-3-030-87966-2_3

Vancouver

Platonov A. On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients. In Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Springer Nature. 2022. p. 21-27. (Lecture Notes in Control and Information Sciences - Proceedings). https://doi.org/10.1007/978-3-030-87966-2_3

Author

Platonov, Alexey . / On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients. Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Springer Nature, 2022. pp. 21-27 (Lecture Notes in Control and Information Sciences - Proceedings).

BibTeX

@inproceedings{c1b67da6ec7a4072ae9bba73cb0b3876,
title = "On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients",
abstract = "In the paper, one class of mechanical systems with nonlinear force fields is considered. It is assumed that the system is under influence of potential, dissipative, and gyroscopic forces. Moreover, we suppose that there is a time-depending coefficient at potential forces. The case where this coefficient is piecewise continuous and piecewise monotonous on any finite-time interval is investigated. Thus, the system can be considered as a non-stationary switched system. We study the situation where this coefficient can be unbounded. Stability conditions for such class of systems are obtained. The Lyapunov direct method is used. Both multiple Lyapunov functions and single Lyapunov functions are constructed. Some examples are presented to illustrate the results.",
author = "Alexey Platonov",
note = "Platonov, A. (2022). On the Stability of Nonlinear Mechanical Systems with Time-Varying Discontinuous Coefficients. In: Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-87966-2_3; Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov : Dedicated to the Memory of Professor Vladimir Zubov, SCP2020 ; Conference date: 05-10-2020 Through 09-10-2020",
year = "2022",
doi = "10.1007/978-3-030-87966-2_3",
language = "English",
isbn = "9783030879655",
series = "Lecture Notes in Control and Information Sciences - Proceedings",
publisher = "Springer Nature",
pages = "21--27",
booktitle = "Stability and Control Processes",
address = "Germany",
url = "http://www.apmath.spbu.ru/scp2020/, http://www.apmath.spbu.ru/scp2020/ru/main/, http://www.apmath.spbu.ru/scp2020/eng/program/#schedule, https://link.springer.com/conference/scp",

}

RIS

TY - GEN

T1 - On the Stability of Nonlinear Mechanical Systems with Time-varying Discontinuous Coefficients

AU - Platonov, Alexey

N1 - Conference code: 4

PY - 2022

Y1 - 2022

N2 - In the paper, one class of mechanical systems with nonlinear force fields is considered. It is assumed that the system is under influence of potential, dissipative, and gyroscopic forces. Moreover, we suppose that there is a time-depending coefficient at potential forces. The case where this coefficient is piecewise continuous and piecewise monotonous on any finite-time interval is investigated. Thus, the system can be considered as a non-stationary switched system. We study the situation where this coefficient can be unbounded. Stability conditions for such class of systems are obtained. The Lyapunov direct method is used. Both multiple Lyapunov functions and single Lyapunov functions are constructed. Some examples are presented to illustrate the results.

AB - In the paper, one class of mechanical systems with nonlinear force fields is considered. It is assumed that the system is under influence of potential, dissipative, and gyroscopic forces. Moreover, we suppose that there is a time-depending coefficient at potential forces. The case where this coefficient is piecewise continuous and piecewise monotonous on any finite-time interval is investigated. Thus, the system can be considered as a non-stationary switched system. We study the situation where this coefficient can be unbounded. Stability conditions for such class of systems are obtained. The Lyapunov direct method is used. Both multiple Lyapunov functions and single Lyapunov functions are constructed. Some examples are presented to illustrate the results.

UR - https://www.mendeley.com/catalogue/5ae6e55b-34b5-3790-8e30-142bbfc8315d/

U2 - 10.1007/978-3-030-87966-2_3

DO - 10.1007/978-3-030-87966-2_3

M3 - Conference contribution

SN - 9783030879655

T3 - Lecture Notes in Control and Information Sciences - Proceedings

SP - 21

EP - 27

BT - Stability and Control Processes

PB - Springer Nature

T2 - Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov

Y2 - 5 October 2020 through 9 October 2020

ER -

ID: 98069032