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Stabilization with discounted optimal control

URN to cite this document: urn:nbn:de:bvb:703-epub-1922-3

Title data

Gaitsgory, Vladimir ; Grüne, Lars ; Thatcher, Neil:
Stabilization with discounted optimal control.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 15 S.

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Project information

Project title:
Project's official title
Project's id
Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)
264735-SADCO
ARC Discovery Grant
DP130104432
ARC Discovery Grant
DP120100532
Project financing: 7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union
Australian Research Council

Abstract

We provide a condition under which infinite horizon discounted optimal control problems can be used in order to obtain stabilizing controls for nonlinear systems. The paper gives a mathematical analysis of the problem as well as an illustration by a numerical example.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen in:
Systems & Control Letters. Bd. 82 (2015) . - S. 91-98.
DOI: https://doi.org/10.1016/j.sysconle.2015.05.010
Keywords: Stabilization; Discounted optimal control; Lyapunov function
Subject classification: Mathematics Subject Classification Code: 93D05, 93D15, 49N90
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: 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)
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
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-1922-3
Date Deposited: 13 Mar 2015 10:34
Last Modified: 02 Jun 2021 07:38
URI: https://epub.uni-bayreuth.de/id/eprint/1922
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