Title data
Faulwasser, Timm ; Grüne, Lars ; Humaloja, JukkaPekka ; Schaller, Manuel:
The interval turnpike property for adjoints.
In: Pure and Applied Functional Analysis.
Vol. 7
(2022)
Issue 4
.
 pp. 11871207.
ISSN 21893756
This is the latest version of this item.
Related URLs
Project information
Project title: 
Project's official title Project's id Specialized Adaptive Algorithms for Model Predictive Control of PDEs GR 1569/171 Specialized Adaptive Algorithms for Model Predictive Control of PDEs SCHI 1379/51 The research was conducted while the third author was visiting University of Bayreuth under Academy of Finland Grant number 310489 held by Lassi Paunonen and supported by a travel grantfrom the Magnus Ehrnrooth Foundation No information 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
In this work we derive an interval turnpike result for adjoints of finite and infinitedimensional nonlinear optimal control problems under the assumption of an interval turnpike on states and controls. We consider stabilizable dynamics governed by a generator of a semigroup with finitedimensional unstable part satisfying a spectral decomposition condition and show the desired turnpike property under continuity assumptions on the firstorder optimality conditions. We further give stronger estimates for analytic semigroups and provide a numerical example with a boundary controlled semilinear heat equation to illustrate the results.
Further data
Available Versions of this Item

The interval turnpike property for adjoints. (deposited 27 May 2020 07:42)
 The interval turnpike property for adjoints. (deposited 24 Oct 2022 11:45) [Currently Displayed]