ERef Bayreuth

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Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs

Title data

Zanon, Mario ; Grüne, Lars:
Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs.
In: Automatica. Vol. 187 (2026) . - 112871.
ISSN 1873-2836
DOI: https://doi.org/10.1016/j.automatica.2026.112871

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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

Asymptotic stability in receding horizon control is obtained under a strict pre-dissipativity assumption, in the presence of suitable state constraints. In this paper we analyze how terminal constraints can be replaced by suitable terminal costs. We restrict to the linear-quadratic setting as that allows us to obtain stronger results, while we analyze the full nonlinear case in a separate contribution.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	Receding horizon control; model predictive control; dissipativity; asymptotic stability
Institutions of the University:	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 > Advanced Fields > Nonlinear Dynamics 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) Profile Fields Profile Fields > Advanced Fields
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	09 Mar 2026 09:08
Last Modified:	09 Mar 2026 09:08
URI:	https://eref.uni-bayreuth.de/id/eprint/96543

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Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs. (deposited 13 Jan 2025 11:05)
- Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs. (deposited 09 Mar 2026 09:08) [Currently Displayed]