Numerical computation of an optimal control problem with homogenization in one-dimensional case
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2008-01-01
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Li, Zhen
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L. Steven Hou
Jue Yan
Ananda Weerasinghe
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Mathematics
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Mathematics
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).
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Tue Jan 01 00:00:00 UTC 2008