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Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs

URN to cite this document: urn:nbn:de:bvb:703-epub-4078-4

Title data

Grüne, Lars ; Pirkelmann, Simon:
Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs.
Bayreuth , 2018 . - 10 S.

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Project information

Project title:
Project's official titleProject's id
Model predictive PDE control for energy efficient building operation: economic model predictive control and time-varying systemsGR 1569/16-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract

To prove approximate closed loop optimality of economic model predictive control of time varying systems, continuity assumptions for the optimal value function and the turnpike property are sufficient conditions. It can sometimes be difficult to prove these assumptions analytically for a given example. In this paper we present a numerical approach that aims to verify the assumptions by simulations for a system involving a convection-diffusion equation with boundary control. The results show that the assumptions are realistic and can be met for practical problems.

Further data

Item Type: Preprint, postprint
Keywords: Turnpike Property, Optimal Value Function, Modulus of Continuity, Model Predictive Control, Time-varying systems, Partial Differential Equations
Subject classification: Mathematics Subject Classification Code: 26B05, 49K20, 93B40, 93B52
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-4078-4
Date Deposited: 21 Dec 2018 08:01
Last Modified: 14 Mar 2019 14:13
URI: https://epub.uni-bayreuth.de/id/eprint/4078

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