TY - JOUR
AU - T. V. Koval’chuk
AU - V. I. Kravets
AU - V. V. Mohyl'ova
AU - A. N. Stanzhitskii
PY - 2018/02/25
Y2 - 2024/09/11
TI - Application of the method
of averaging to the problems of optimal control over functional-differential equations
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 2
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1551
AB - We study the application of the method of averaging to the problems of optimal control over functional-differentialequations. The procedure of averaging allows us to replace the original problem with the problem of optimal control by asystem of ordinary differential equations. It is proved that the optimal control over the averaged problem is almost optimalfor the exact problem. The optimal control problems are investigated on finite and infinite horizons.
ER -