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

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 p.
DOI: https://doi.org/10.15495/EPub_UBT_00004720

Official URL: Volltext

Project information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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
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 > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 11 Apr 2020 21:00
Last Modified: 14 Apr 2020 06:15
URI: https://eref.uni-bayreuth.de/id/eprint/54919