학술논문
AVERAGING METHOD IN THE PROBLEM OF OPTIMAL CONTROL FOR A PERTURBED PARABOLIC EQUATION
Document Type
Academic Journal
Source
Ukrainian Mathematical Journal. December, 2022, Vol. 74 Issue 7, p1113, 8 p.
Subject
Language
English
ISSN
0041-5995
Abstract
We consider the problem of optimal control formed by a parabolic nonlinear equation with rapidly oscillating coefficients, an additive control function, and a coercive cost functional. It is proved that the optimal value of the perturbed problem is close to the optimal value for the corresponding problem with averaged coefficients.
UDC 517.9 Introduction Starting from the pioneering Bogolyubov's works [1, 2], the idea of averaging is extensively used in the theory of differential equations and its applications [3, 4], including [...]
UDC 517.9 Introduction Starting from the pioneering Bogolyubov's works [1, 2], the idea of averaging is extensively used in the theory of differential equations and its applications [3, 4], including [...]