Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point

• Veröffentlicht in: Журнал математической физики, анализа, геометрии
• Datum: 2011
• 1. Verfasser: Khalina, K.S.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/106663
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point / K.S. Khalina // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 34-58. — Бібліогр.: 22 назв. — англ.

In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified Sobolev spaces. The control that solves these problems is found explicitly. Th...