Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
Han ZJ, Zuazua Iriondo E (2024)
Publication Language: English
Publication Status: Accepted
Publication Type: Unpublished / Preprint
Future Publication Type: Journal article
Publication year: 2024
URI: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf
Open Access Link: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf
Abstract
This paper is devoted to analysing the explicit slow decay rate and turnpike in the infinite-horizon linear quadratic optimal control problems for hyperbolic systems. Assume that some weak observability or controllability are satisfied, by which, the lower and upper bounds of the corresponding algebraic Riccati operator are estimated, respectively. Then based on these two bounds, the explicit slow decay rate of the closed-loop system with Riccati-based optimal feedback control is obtained. The averaged turnpike property for this problem is also further discussed.
We then apply these results to the LQ optimal control problems constraint to networks of onedimensional wave equations and also some multi-dimensional ones with local controls which lack of GCC (Geometric Control Condition).
Authors with CRIS profile
Enrique Zuazua Iriondo
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
China (CN)How to cite
APA:
Han, Z.-J., & Zuazua Iriondo, E. (2024). Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems. (Unpublished, Accepted).
MLA:
Han, Zhong-Jie, and Enrique Zuazua Iriondo. Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems. Unpublished, Accepted. 2024.
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