On S-homogenization of an optimal control problem with control and state constraints

Leugering G, Kogut PI (2001)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2001

Journal

Zeitschrift für Analysis und ihre Anwendungen European Mathematical Society

Publisher: European Mathematical Society

Book Volume: 20

Pages Range: 395-429

Journal Issue: 2

URI: https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=20&iss=2&rank=9

DOI: 10.4171/ZAA/1023

Abstract

We study the limiting behavior of an optimal control problem for a linear elliptic equation subject to control and state constraints. Each constituent of the mathematical description of such an optimal control problem may depend on a small parameter epsilon. We study the limit of this problem when epsilon --> 0 in the framework of variational S-convergence which generalizes the concept of F-convergence. We also introduce the notion of G*-convergence generalizing the concept of G-convergence to operators. with constraints. We show convergence of the sequence of optimal control problems and identify its limit. We then apply the theory to an elliptic problem on a perforated domain.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Oles Honchar Dnipropetrovsk National University / Дніпропетровський національний університет імені Олеся Гончара UA Ukraine (UA)

How to cite

APA:

Leugering, G., & Kogut, P.I. (2001). On S-homogenization of an optimal control problem with control and state constraints. Zeitschrift für Analysis und ihre Anwendungen, 20(2), 395-429. https://doi.org/10.4171/ZAA/1023

MLA:

Leugering, Günter, and Peter I. Kogut. "On S-homogenization of an optimal control problem with control and state constraints." Zeitschrift für Analysis und ihre Anwendungen 20.2 (2001): 395-429.

BibTeX: Download