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On approximate solution of the time-optimal problem in Banach spaces with constraints on the phase coordinatesстатья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Авторы: Vasil’ev F.P., Ivanov R.P.
- Журнал: USSR Computational Mathematics and Mathematical Physics
- Том: 11
- Номер: 2
- Год издания: 1971
- Первая страница: 45
- Последняя страница: 67
- Аннотация: THE time-optimal problem is considered for linear controlled systems with elements from a Banach space and controls from a given set of a linear topological space, i.e., the problem of moving the system in minimal time from one set to another while satisfying phase constraints of a very general type. An iterative method for solving the problem approximately is described and proved, together with a modification of the method. The method is shown to be usable for the approximate solution of many time-optimal problems of practical importance, involving equations of mathematical physics. A regularizing algorithm, closely linked with the iterative method, is shown to exist. © 1973.
- Добавил в систему: Васильев Федор Павлович