Pontryagin's Maximum Principle of Optimal Control Governed by A Convection Diffusion Equation

Authors

  • Youjun Xu School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001
  • Huilan Wang School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001
  • Yanqi Liu School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001

DOI:

https://doi.org/10.26713/cma.v4i2.167

Keywords:

Optimal control, Pontryagin's maximum principle, State constraint

Abstract

In this paper we analyze an optimal control problem governed by a convection diffusion equation. This problem with state constraints is discussed by adding penalty arguments involving the application of Ekeland's variational principle and finite codimensionality of certain sets. Necessary conditions for optimal control is established by the method of spike variation.
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Issue

Vol. 4 No. 2 (2013)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Xu, Y., Wang, H., & Liu, Y. (2013). Pontryagin’s Maximum Principle of Optimal Control Governed by A Convection Diffusion Equation. Communications in Mathematics and Applications, 4(2), 119-125. https://doi.org/10.26713/cma.v4i2.167