Bounded approximate synthesis of the optimal control for the wave equation
We consider the problem of optimal control for the wave equation. For the formulated problem, we find the optimal control in the form of a feedback in the case where the control reaches a restriction, construct an approximate control, and substantiate its correctness, i.e., prove that the proposed control realizes the minimum of the quality criterion.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 8, pp 1212-1223.
Citation Example: Sukretna A. V. Bounded approximate synthesis of the optimal control for the wave equation // Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1094–1104.