Turnpike properties for partially uncontrollable systems

Gugat M, Lazar M (2023)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2023

Journal

Automatica Elsevier

Book Volume: 149

DOI: 10.1016/j.automatica.2022.110844

Open Access Link: https://doi.org/10.1016/j.automatica.2022.110844

Abstract

We analyse the turnpike properties for a general, infinite dimensional, linear–quadratic (LQ) optimal control problem, in both the deterministic and the parameter dependent case. The novelty of the paper is twofold. Firstly, it obtains positive turnpike results for systems that are (partially) uncontrollable. Secondly, it provides turnpike results for optimal averaged control associated to a family of problems that depend on a random parameter, which is the first turnpike type result that extends the averaged controllability approach to optimal control problems In both cases, the results do not require assumptions on stabilizability and detectability, which are most commonly used in the study of turnpike phenomena.

Authors with CRIS profile

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

How to cite

APA:

Gugat, M., & Lazar, M. (2023). Turnpike properties for partially uncontrollable systems. Automatica, 149. https://doi.org/10.1016/j.automatica.2022.110844

MLA:

Gugat, Martin, and Martin Lazar. "Turnpike properties for partially uncontrollable systems." Automatica 149 (2023).

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