Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation

Youjun Xu, Cuie Xiao, Hui Zhu

Department of Mathematics and Computation Sciences, Hunan City University, Yiyang, China.
School of Mathematics and Physics, University of South China, Hengyang, China.

DOI: 10.4236/am.2012.312258                

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.

Keywords

Optimal Control; Pontryagin’s Maximum Principle; State Constraint

Conflicts of Interest

The authors declare no conflicts of interest.

References

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