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.

Format:	PDF
Name:	gruene_discounted_stab_2014.pdf
Version:	Preprint
Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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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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