Degree Type

Thesis

Date of Award

2008

Degree Name

Master of Science

Department

Mathematics

First Advisor

L. Steven Hou

Second Advisor

Jue Yan

Third Advisor

Ananda Weerasinghe

Abstract

We consider an optimal control problem in which the state equation has rapidly oscillating coefficients (characterized by matrix A epsilon, where epsilon is a small parameter). Based on some important results from the paper by S. Kesavan, we convert this optimal control problem to a partial differential equation problem. Therefore, solving optimal control problem is equivalent to solving this partial differential equation problem. By several numerical examples in one dimensional case, we also show that the limit satisfies a problem of the same type but with matrix A 0 (the H-limit of Aepsi).

DOI

https://doi.org/10.31274/rtd-180813-16582

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Zhen Li

Language

en

Proquest ID

AAI1453174

OCLC Number

243468391

ISBN

9780549544029

File Format

application/pdf

File Size

21 pages

Included in

Mathematics Commons

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