Title data
Grüne, Lars ; Pirkelmann, Simon:
Numerical Verification of Turnpike and Continuity Properties for TimeVarying PDEs.
Bayreuth
,
2018
.  10 p.
Official URL:
Project information
Project title: 
Project's official title  Project's id 

Model predictive PDE control for energy efficient building operation: economic model predictive control and timevarying systems  GR 1569/161 

Project financing: 
Deutsche Forschungsgemeinschaft

Abstract in another language
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 convectiondiffusion 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, Timevarying systems, Partial Differential Equations

Subject classification: 
Mathematics Subject Classification Code: 26B05, 49K20, 93B40, 93B52

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 (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics 
Result of work at the UBT: 
Yes 
DDC Subjects: 
500 Science > 510 Mathematics 
Date Deposited: 
22 Dec 2018 22:00 
Last Modified: 
14 Mar 2019 14:13 
URI: 
https://eref.unibayreuth.de/id/eprint/46775 
Available Versions of this Item

Numerical Verification of Turnpike and Continuity Properties for TimeVarying PDEs. (deposited 22 Dec 2018 22:00)
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