Method of integrodifferential relations and projection technique in control problems of elastic body motionsстатья

Информация о цитировании статьи получена из Scopus
Дата последнего поиска статьи во внешних источниках: 20 мая 2019 г.

Работа с статьей


[1] Saurin V. V. Method of integrodifferential relations and projection technique in control problems of elastic body motions // Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2018. — Piscataway, NJ, United States: Piscataway, NJ, United States, 2018. — P. 1–4. The possibility of reducing an initial-boundary value problem formulated initially in partial derivatives to a system of ordinary differential equations of small dimension is considered. The properties of various quadratic energy relations arising in different problems of mathematical physics are studied and discussed. As an example, integro-differential formulations of a control problem of elastic body motion are presented in the framework of the two-dimensional theory of elasticity. It is shown that in this case the control problem using semi-discrete approximations with polynomials as basis functions can be reduced to a system of ordinary differential equations. In conclusion, the results of numerical simulation are presented and discussed. [ DOI ]

Публикация в формате сохранить в файл сохранить в файл сохранить в файл сохранить в файл сохранить в файл сохранить в файл скрыть