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Mathematics of the USSR-Izvestiya, 1992, Volume 39, Issue 1, Pages 795–816
DOI: https://doi.org/10.1070/IM1992v039n01ABEH002226 (Mi im989) 		 
The method of function of an operator, and iterative processes in some optimal control problems

I. I. Golichev

Institute of Mathematics with Computing Centre, Ural Branch of USSR Academy of Sciences
English version PDF (911 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1992v039n01ABEH002226
Abstract: For a problem with control of the right-hand side of the state equation and with observation at the terminal time instant, the representation of the solution in the form of a function of an operator is obtained. A criterion for solvability of the time-optimal control problem is found. An iterative process for solving the problem, whose rate of convergence does not depend on the regularization parameter, is constructed.
Received: 22.05.1990
Bibliographic databases:
UDC: 519.71
MSC: Primary 49J27; Secondary 41A35, 41A65
Language: English
Original paper language: Russian
Citation: I. I. Golichev, “The method of function of an operator, and iterative processes in some optimal control problems”, Math. USSR-Izv., 39:1 (1992), 795–816
Citation in format AMSBIB
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\by I.~I.~Golichev
\paper The~method of function of an operator, and iterative processes in some optimal control problems
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 1
\pages 795--816
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