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Approximating Reachable Sets by Extrapolation Methods

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005434
URN to cite this document: urn:nbn:de:bvb:703-epub-5434-7

Title data

Baier, Robert ; Lempio, Frank:
Approximating Reachable Sets by Extrapolation Methods.
Bayreuth , 1994

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Abstract

Order of convergence results with respect to Hausdorff distance are summarized for the numerical approximation of Aumann's integral by an extrapolation method which is the set-valued analogue of Romberg's method. This method is applied to the discrete approximation of reachable sets of linear differential inclusions. For a broad class of linear control problems, it yields at least second order of convergence, for problems with additional implicit smoothness properties even higher orders of convergence.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Laurent, Pierre-Jean ; Le Méhauteé, Alain ; Schumaker, Larry L. (Hrsg.): Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. - Wellesley, Mass. : Peters , 1994 . - S. 9-18
Keywords: Aumann's integral; reachable set; extrapolation method
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)
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5434-7
Date Deposited: 05 May 2021 09:47
Last Modified: 05 May 2021 09:48
URI: https://epub.uni-bayreuth.de/id/eprint/5434

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