The turnpike property for high-dimensional interacting agent systems in discrete time

Gugat M, Herty M, Segala C, Liu J (2024)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2024

Journal

Optimal Control Applications & Methods Wiley-Blackwell

URI: https://onlinelibrary.wiley.com/doi/10.1002/oca.3172

DOI: 10.1002/oca.3172

Open Access Link: https://onlinelibrary.wiley.com/doi/10.1002/oca.3172

Abstract

We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems. It is shown that the resulting time-discrete system inherits the turnpike property with estimates of the same type as in the continuous case. In particular, we prove that the discrete time optimal control problem is strictly dissipative and the cheap control assumption holds.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Università degli studi "La Sapienza" IT Italy (IT) Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Gugat, M., Herty, M., Segala, C., & Liu, J. (2024). The turnpike property for high-dimensional interacting agent systems in discrete time. Optimal Control Applications & Methods. https://doi.org/10.1002/oca.3172

MLA:

Gugat, Martin, et al. "The turnpike property for high-dimensional interacting agent systems in discrete time." Optimal Control Applications & Methods (2024).

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