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From Bellman to Dijkstra: Set oriented construction of globally optimal controllers

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00004720
URN to cite this document: urn:nbn:de:bvb:703-epub-4720-1

Title data

Grüne, Lars ; Junge, Oliver:
From Bellman to Dijkstra: Set oriented construction of globally optimal controllers.
Department of Mathematics, University of Bayreuth, Department of Mathematics, Technical University of Munich
Bayreuth , 2020 . - 30 S.

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Project information

Project financing:	Deutsche Forschungsgemeinschaft

Abstract

We review an approach for discretizing Bellman's optimality principle based on piecewise constant functions. By applying this ansatz to a suitable dynamic game, a discrete feedback can be constructed which robustly stabilizes a given nonlinear control system. Hybrid, event and quantized systems can be naturally handeld by this construction.

Further data

Item Type:	Preprint, postprint
Keywords:	optimality principle; nonlinear controller; shortest path; dynamic game
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 Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics Research Institutions Research Institutions > Central research institutes
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-4720-1
Date Deposited:	08 Apr 2020 10:46
Last Modified:	08 Apr 2020 10:46
URI:	https://epub.uni-bayreuth.de/id/eprint/4720

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