The turnpike property for mean-field optimal control problems
Gugat M, Herty M, Segala C (2024)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2024
Journal
Pages Range: 1-15
DOI: 10.1017/S0956792524000044
Abstract
We study the turnpike phenomenon for optimal control problems with mean-field dynamics that are obtained as
the limit N → ∞ of systems governed by a large number N of ordinary differential equations. We show that the
optimal control problems with large time horizons give rise to a turnpike structure of the optimal state and the
optimal control. For the proof, we use the fact that the turnpike structure for the problems on the level of ordinary
differential equations is preserved under the corresponding mean-field limit.
Authors with CRIS profile
Martin Gugat
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
Germany (DE)How to cite
APA:
Gugat, M., Herty, M., & Segala, C. (2024). The turnpike property for mean-field optimal control problems. European Journal of Applied Mathematics, 1-15. https://dx.doi.org/10.1017/S0956792524000044
MLA:
Gugat, Martin, Michael Herty, and Chiara Segala. "The turnpike property for mean-field optimal control problems." European Journal of Applied Mathematics (2024): 1-15.
BibTeX: Download