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Problem formulation

  • Andreas Potschka
Chapter
Part of the Advances in Numerical Mathematics book series (ANUM)

Abstract

The goal of this chapter is to introduce the Optimal Control Problem (OCP) formulation which serves as the point of origin for all further investigations in this thesis. To this end we recapitulate elements of the theory of parabolic Partial Differential Equations (PDEs) in Section 2.1 and present a system of PDEs coupled with Ordinary Differential Equations (ODEs) in Section 2.2. The coupled system is one of the constraints among additional boundary and path constraints for the OCP which we describe in Section 2.3. We emphasize the particular aspects in which our problem setting differs and extends the setting most often found in PDE constrained optimization.

Keywords

Banach Space Optimal Control Problem Path Constraint Distributional Derivative Tracking Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Fachmedien Wiesbaden 2014

Authors and Affiliations

  1. 1.HeidelbergGermany

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