Geodesic
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. 
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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/

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