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A Direct Method for Parabolic PDE Constrained Optimization ProblemsProblem formulation

A Direct Method for Parabolic PDE Constrained Optimization Problems: Problem formulation [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Direct Method for Parabolic PDE Constrained Optimization ProblemsProblem formulation

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Publisher
Springer Fachmedien Wiesbaden
Copyright
© Springer Fachmedien Wiesbaden 2014
ISBN
978-3-658-04475-6
Pages
11 –17
DOI
10.1007/978-3-658-04476-3_2
Publisher site
See Chapter on Publisher Site

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.]

Published: Nov 30, 2013

Keywords: Banach Space; Optimal Control Problem; Path Constraint; Distributional Derivative; Tracking Type

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