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Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems

Title data

Schießl, Jonas ; Ou, Ruchuan ; Faulwasser, Timm ; Baumann, Michael Heinrich ; Grüne, Lars:
Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems.
In: 2023 62nd IEEE Conference on Decision and Control (CDC). - Singapore, Singapore , 2023 . - pp. 2790-2795
DOI: https://doi.org/10.1109/CDC49753.2023.10384081

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Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
Stochastic Optimal Control and MPC - Dissipativity, Risk, and Performance
499435839

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We investigate pathwise turnpike behavior of discrete-time stochastic linear-quadratic optimal control problems. Our analysis is based on a novel strict dissipativity notion for such problems, in which a stationary stochastic process replaces the optimal steady state of the deterministic setting. The analytical findings are illustrated by a numerical example.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: Optimal control; Stochastic processes; Steady-state; Behavioral sciences
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
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 02 Feb 2024 09:53
Last Modified: 02 Feb 2024 09:53
URI: https://eref.uni-bayreuth.de/id/eprint/88340

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