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Local Turnpike Properties in Finite Horizon Optimal Control

Title data

Krügel, Lisa ; Faulwasser, Timm ; Grüne, Lars:
Local Turnpike Properties in Finite Horizon Optimal Control.
In: 62nd IEEE Conference on Decision and Control (CDC) 2023. - Singapore , 2023 . - pp. 5273-5278
DOI: https://doi.org/10.1109/CDC49753.2023.10383850

This is the latest version of this item.

Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung — Die Rolle von Paretofronten, multikriterieller Dissipativität und mehrfachen Gleichgewichten
244602989

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

In optimal control, it is well known that near-optimal trajectories exhibit a turnpike property if the system is strictly dissipative at the considered equilibrium and additional technical conditions are satisfied. In this paper we extend this result to a system which is merely locally strictly dissipative. For the special case of locally positive definite stage costs we show that there exists upper and lower bounds on the optimization horizon for which a local turnpike property becomes visible. For locally strictly dissipative costs we show that the same holds under a condition on the leaving arc of the local turnpike property. Our theoretical findings are illustrated by numerical examples.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: Costs; Optimal control; Trajectory; Optimization
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) > 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
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 01 Mar 2024 07:38
Last Modified: 01 Mar 2024 07:38
URI: https://eref.uni-bayreuth.de/id/eprint/88749

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