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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

Vernadsky National Library of Ukraine

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Title 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
 
Creator Khalina, K.S.
 
Description 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. The bang-bang controls solving the approximate null-controllability problem are constructed as the solutions of the Markov trigonometric moment problem.
 
Date 2016-10-01T18:42:26Z
2016-10-01T18:42:26Z
2011
 
Type Article
 
Identifier 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.
1812-9471
http://dspace.nbuv.gov.ua/handle/123456789/106663
 
Language en
 
Relation Журнал математической физики, анализа, геометрии
 
Publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України