Oleksandr Stanzhytskyi, Roksolana Lakhva, Viktoria Mogylova

The Averaging Method for Optimal Control Problems of Integro-Differential Systems on the Half-Axis

abstract:
For the optimal control problem of an integro-differential system with rapidly oscillating coefficients on the infinite interval, the convergence of optimal controls, trajectories, and quality criterion from the original problem to the corresponding triple of solutions of the averaged problem is established.

Mathematics Subject Classification: 49J15, 49J21, 34K35, 49J15

Key words and phrases: Optimal control problem, integro-differential system, rapidly oscillating coefficients, half-axis, cost function, averaging method