Method to Construct Periodic Solutions of Controlled Second-Order Dynamical Systems
- Авторлар: Klimina L.1, Selyutskiy Y.1
-
Мекемелер:
- Institute of Mechanics, Lomonosov Moscow State University
- Шығарылым: Том 58, № 4 (2019)
- Беттер: 503-514
- Бөлім: Stability
- URL: https://journals.rcsi.science/1064-2307/article/view/220404
- DOI: https://doi.org/10.1134/S1064230719030109
- ID: 220404
Дәйексөз келтіру
Аннотация
Nonconservative mechanical systems with one degree of freedom are considered. The goal is to provide the existence of steady-state oscillations with the prescribed properties. The system’s behavior is modeled by a second-order autonomous dynamical system with one variable parameter describing the amplifying coefficient of the control action. A numerical-analytic method to find the amplifying coefficient is proposed. Conditions of the orbital stability are obtained for the steady-state oscillations. An example of the application of the method is provided. The proposed approach can be applied to solve control problems and to find periodic solutions of second-order autonomous dynamical systems.
Авторлар туралы
L. Klimina
Institute of Mechanics, Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: klimina@imec.msu.ru
Ресей, Moscow, 119192
Yu. Selyutskiy
Institute of Mechanics, Lomonosov Moscow State University
Email: klimina@imec.msu.ru
Ресей, Moscow, 119192
![](/img/style/loading.gif)