A variational problem and optimal control

Hang-Chin Lai; Jin-Chirng Lee; Shuh-Jye Chern

doi:10.3934/jimo.2011.7.967

Article Contents

2011, Volume 7, Issue 4: 967-975. Doi: 10.3934/jimo.2011.7.967

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A variational problem and optimal control

1.
Chung Yuan Christian University, Chung Li
2.
National Tsing Hua University, Hsinchu

Received: December 31, 2010

Revised: May 31, 2011

Published: September 2011

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Abstract

A variational problem involving two variables, the state and the control variables, is reduced to another variational problem in which the objective has no control variable, but the constrained identity has one. We then establish that the two problems are equivalent with the same optimal (state) solution under some conditions.

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Mathematics Subject Classification: Primary: 46G12, 28B20; Secondary: 54C65.

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References

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