70496

Автор(ы): 

Тхай В. Н. (ИПУ РАН, Лаборатория 16)
Барабанов И. Н. (ИПУ РАН, Лаборатория 16)

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Доклад

Название: 

Resonant Oscillations of a Controlled Reversible Mechanical System in the Vicinity of Equilibrium

Электронная публикация: 

Да

ISBN/ISSN: 

978-3-030-87966-2

DOI: 

10.1007/978-3-030-87966-2_52

Наименование конференции: 

  • Stability and Control Processes, SCP 2020, Saint-Petersburg

Наименование источника: 

  • Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings

Город: 

  • Cham

Издательство: 

  • Springer

Год издания: 

2022

Страницы: 

475-482
Аннотация
Forced resonant oscillations of the reversible mechanical system are studied in the case when the frequencies of the linearized system coincide with the frequencies of the exerting control. The regulator’s gain k is supposed to be small. Given the nondegenerate case, all isolated unsymmetrical oscillations, as well as families of symmetrical oscillations, are found. The resonant effect is manifested by O(k1/3) increase in amplitude.

Библиографическая ссылка: 

Тхай В.Н., Барабанов И.Н. Resonant Oscillations of a Controlled Reversible Mechanical System in the Vicinity of Equilibrium / Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings. Cham: Springer, 2022. С. 475-482.