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Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation
School of Mathematics and Physics, University of South China, Hengyang, China
Department of Mathematics and Computation Sciences, Hunan City University, Yiyang, China
School of Mathematics and Physics, University of South China, Hengyang, China
- 1 School of Mathematics and Physics, University of South China, Hengyang, China
- 2 Department of Mathematics and Computation Sciences, Hunan City University, Yiyang, China
- 3 School of Mathematics and Physics, University of South China, Hengyang, China
Applied Mathematics·Volume 03 (2012)·Pages 1888–1891·Published 12 December 2012·DOI10.4236/am.2012.312258
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Abstract
In this paper we investigate optimal control problems governed by a advection-diffusion-reaction equation. We present a method for deriving conditions in the form of Pontryagin’s principle. The main tools used are the Ekeland’s variational principle combined with penalization and spike variation techniques.
KeywordsOptimal ControlPontryagin’s Maximum PrincipleState Constraint
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