About the Asymptotics of an Maximin in a Problem with a Sequential Relaxation of Constraints
Author(s):
Alexander G. Chentsov
corresponding member of Russian Academy of Sciences,
Doctor of Physics and Mathematics, chief researcher of Control Systems Department,
Institute of Mathematics and Mechanics, Ural Branch of RAS N.N. Krasovskii
620990, Yekaterinburg, S. Kovalevskaya street, 16
Professor of Ural Federal University
620002, Yekaterinburg, Mira street, 19
chentsov@imm.uran.ru
Julia V. Shapar
PhD in Physics and Mathematics Sciences,
Chief Programmer of Control Systems Department
Institute of Mathematics and Mechanics, Ural Branch of RAS N.N. Krasovskii
620990, Yekaterinburg , S. Kovalevskaya street, 16
associate professor of the Ural Federal University,
620002, Yekaterinburg, Mira street, 19
shaparuv@mail.ru
Abstract:
The abstract control problem is considered. The asymptotics of open-loop maximin values
of a problem with a constraints relaxation is investigated.
The work was performed as part of the program of the Presidium of
RAS "Mathematical Control Theory" (Project P-12-1-1019, P-12-1-1012)
and with the financial support of RFBR (projects 12-01-00537, 11-01-90432-ukr_f_a , 13-01-00304).
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