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Constructive Observability Inequalities for Weak Generalized Solutions of the Wave Equation with Elastic Restraintстатья
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: 15 июля 2014 г.
- Авторы: Dryazhenkov A.A., Potapov M.M.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 54
- Номер: 6
- Год издания: 2014
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 939
- Последняя страница: 952
- DOI: 10.1134/S0965542514060062
- Аннотация: Problems with onesided boundary controls and a homogeneous Robin boundary condition set on the uncontrolled end are considered in the class of strong generalized solutions of the variable coefficient wave equation. In the adjoint class of weak generalized solutions of the dual problems with onesided observations, new constructive observability inequalities are obtained that differ from previously known ones by an optimal threshold time. It is shown that, in the considered functional classes, the estimated constants degenerate as the time interval length approaches the threshold. Numerical illustrations are given showing that the stability of approximate solutions to control problems can be substantially enhanced by taking into account a priori information contained in the resulting observability inequalities.
- Добавил в систему: Потапов Михаил Михайлович