The~method of function of an operator, and iterative processes in some optimal control problems
Izvestiya. Mathematics , Tome 39 (1992) no. 1, pp. 795-816
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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.
@article{IM2_1992_39_1_a4,
author = {I. I. Golichev},
title = {The~method of function of an operator, and iterative processes in some optimal control problems},
journal = {Izvestiya. Mathematics },
pages = {795--816},
publisher = {mathdoc},
volume = {39},
number = {1},
year = {1992},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1992_39_1_a4/}
}
TY - JOUR AU - I. I. Golichev TI - The~method of function of an operator, and iterative processes in some optimal control problems JO - Izvestiya. Mathematics PY - 1992 SP - 795 EP - 816 VL - 39 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1992_39_1_a4/ LA - en ID - IM2_1992_39_1_a4 ER -
I. I. Golichev. The~method of function of an operator, and iterative processes in some optimal control problems. Izvestiya. Mathematics , Tome 39 (1992) no. 1, pp. 795-816. http://geodesic.mathdoc.fr/item/IM2_1992_39_1_a4/