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Numerical Method for Damping String Vibrations with Unknown Initial State in the Class of Weak Generalized Solutionsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 16 января 2019 г.
- Авторы: Dryazhenkov A.A., Potapov M.M.
- Журнал: Differential Equations
- Том: 54
- Номер: 11
- Год издания: 2018
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 1425
- Последняя страница: 1443
- DOI: 10.1134/S0012266118110046
- Аннотация: The problem of positional boundary control is considered for the spatially one-dimensional wave equation. The objective of control is to transfer the system from an unknown initial state into the state of rest in finite time. A specific feature of the statement of the problem is the weakening of the requirements on the regularity of generalized solutions, observations, and control. The smoothing procedure is used to transfer the problem into the class of strong generalized solutions, where the method previously developed by the authors can be used. The procedure is mathematically justified, and the corresponding results of numerical experiments are given.
- Добавил в систему: Потапов Михаил Михайлович