On the structural representation of S-homogenized optimal control problems

• Published in: Нелинейные граничные задачи
• Date: 1999
• Main Author: Kogut, P.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 1999
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169276
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the structural representation of S-homogenized optimal control problems / P.I. Kogut // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 84-91. — Бібліогр.: 7 назв. — англ.

The aim of this paper is an application of variational S-convergence [1-3] to homogenization theory of optimal control problems and to explore the structure of homogenized problems. We have proved the existence of strongly S-homogenized optimal control problems for a family of nonlinear systems with...