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October  2011, 7(4): 967-975. doi: 10.3934/jimo.2011.7.967

## A variational problem and optimal control

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

Received  January 2011 Revised  June 2011 Published  August 2011

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.
Citation: Hang-Chin Lai, Jin-Chirng Lee, Shuh-Jye Chern. A variational problem and optimal control. Journal of Industrial & Management Optimization, 2011, 7 (4) : 967-975. doi: 10.3934/jimo.2011.7.967
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