Arsirii A. V.
Ukr. Mat. Zh. - 2009. - 61, № 8. - pp. 1142-1147
We consider the optimal control problem with terminal quality criterion in which the state of a system is described by a set-valued mapping, and an admissible control is a summable function. We describe an algorithm that approximates the admissible control function by a piecewise-constant function and prove theorems on the closeness of the corresponding trajectories and the values of quality criteria.