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On Numerical Algorithm and Interactive Visualization for Optimal Control Problems

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005455
URN to cite this document: urn:nbn:de:bvb:703-epub-5455-3

Title data

Grüne, Lars ; Metscher, Martin ; Ohlberger, Mario:
On Numerical Algorithm and Interactive Visualization for Optimal Control Problems.
Bayreuth , 1999

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Abstract

We present methods for the visualization of the numerical solution of optimal control problems. The solution is based on dynamic programming techniques where the corresponding optimal value function is approximated on an adaptively refined grid. This approximation is then used in order to compute approximately optimal solution trajectories. We discuss requirements for the efficient visualization of both the optimal value functions and the optimal trajectories and develop graphic routines that in particular support adaptive, hierarchical grid structures, interactivity and animation. Several implementational aspects using the Graphics Programming Environment 'GRAPE' are discussed.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Computing and Visualization in Science. Bd. 1 (1999) Heft 4 . - S. 221-229
Keywords: algorithm; visualization; optimal control; dynamic programming; optimal solution trajectories
DDC Subjects: 500 Science
500 Science > 510 Mathematics
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
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)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5455-3
Date Deposited: 06 May 2021 11:37
Last Modified: 06 May 2021 11:37
URI: https://epub.uni-bayreuth.de/id/eprint/5455
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