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Optimization of one essentially nonlinear dynamical systemтезисы доклада
- Авторы: Nefedov V.V., Tikhomirov V.V., Gladyshev G.Y.
- Сборник: Современные методы математической физики и их приложения: Тезисы докладов республиканской научной конференции с участием зарубежных ученых (17-18 ноября 2020 г., Ташкент) / Главный редактор Р.Р. Ашуров. - Ташкент, 2020 г., № 2, 352 с.
- Том: 2
- Тезисы
- Год издания: 2020
- Издательство: Национальный университет Узбекистана имени Мирзо Улугбека
- Местоположение издательства: Ташкент, Узбекистан
- Первая страница: 190
- Последняя страница: 194
- Аннотация: The paper uses a variational approach to study the optimization and stability of one essentially nonlinear dynamic system. For many essentially nonlinear dynamical systems, (adequate) stability and optimization methods have not yet been developed. This is due to the fact that the classical Lyapunov method is not always applicable, even in those cases when the Lyapunov function is constructed. However, the implementation of the Lyapunov method poses difficulties of both a qualitative and a quantitative nature in studies of this dynamic system for stability. In such cases, it is more convenient to apply the variational approach to the study of stability. It allows you to fairly accurately establish the necessary stability conditions for a substantially nonlinear system. The proposed method is based on a variational method for estimating the rate of change of the metric of the phase space of states of a perturbed system.
- Добавил в систему: Нефедов Владимир Вадимович