On Homogenization of Optimization Problems for Operator Equations of the Gammerstain Type. Part 1. The Regular Case

Peter I. Kogut; Victor N. Mizernyi

doi:10.1615/JAutomatInfScien.v33.i11.40

Journal of Automation and Information Sciences

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Mitherausgebers: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

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ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

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On Homogenization of Optimization Problems for Operator Equations of the Gammerstain Type. Part 1. The Regular Case

Volumen 33, Ausgabe 11, 2001, 14 pages

DOI: 10.1615/JAutomatInfScien.v33.i11.40

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Peter I. Kogut
Oles Honchar Dnepropetrovsk National University

Victor N. Mizernyi
Vinnitsa National Technical University, Ukraine

ABSTRAKT

The problem of homogenization of a problem of optimal control for the operator equation of the Gammerstain type is under investigation. Under the assumption that all components of mathematical description of the given problem depend on a certain small parameter e we investigate its behavior for e ® 0. The results of identification of the limit (homogenized) problem of optimal control are also given.

REFERENZIERT VON

Kogut P. I., Leugering G., Asymptotic Analysis of State Constrained Semilinear Optimal Control Problems, Journal of Optimization Theory and Applications, 135, 2, 2007. Crossref

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