| Автор | Belishev, Mikhail |
| Автор | Glasman, Aleksandr |
| Дата выпуска | 2000 |
| dc.description | The paper deals with a boundary control problem for the Maxwell dynamical system in a bounbed domain Ω ⊂ R<sup>3</sup> . Let Ω<sup> T </sup> ⊂ Ω be the subdomain filled by waves at the moment T, T <sub>*</sub> the moment at which the waves fill the whole of Ω. The following effect occurs: for small enough T the system is approximately controllable in Ω<sup> T </sup> whereas for larger T < T<sub>*</sub> a lack of controllability is possible. The subspace of unreachable states is of finite dimension determined by topological characteristics of Ω<sup> T </sup>. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 2000 |
| Тема | Maxwell's dynamical system |
| Тема | boundary control |
| Тема | unreachable states |
| Тема | topology of a domain. |
| Название | Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons |
| Тип | research-article |
| DOI | 10.1051/cocv:2000108 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 5 |
| Первая страница | 207 |
| Последняя страница | 217 |
| Аффилиация | Belishev Mikhail; Saint-Petersburg Department of Steklov Mathematical Institute, Fontanka 27, Saint-Petersburg 191011, Russia; belishev@bel.pdmi.ras.ru. Supported by RFBR, grant 98-01-00314. |
| Аффилиация | Glasman Aleksandr; Saint-Petersburg State University, Saint-Petersburg, Russia. Supported by RFBR, grant 99-01-00107. |
