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Subdivision techniques for the computation of domains of attraction and reachable sets

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005485
URN to cite this document: urn:nbn:de:bvb:703-epub-5485-9

Title data

Grüne, Lars:
Subdivision techniques for the computation of domains of attraction and reachable sets.
Bayreuth , 2001

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Abstract

We present a set oriented subdivision technique for the numerical computation of reachable sets and domains of attraction for nonlinear systems. Using robustness properties of reachable sets for a suitable class of perturbed systems we state its convergence properties. Finally, we present results of numerical experiments which illustrate the performance of the algorithm.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Kuržanskij, Aleksandr B. ; Fradkov, A. L. (Hrsg.): Nonlinear control systems 2001 : (NOLCOS 2001); a proceedings volume from the 5th IFAC Symposium St. Petersburg, Russia, 4 - 6 July 2001. Volume 2. - Oxford : Pergamon , 2002 . - S. 762-767
Keywords: reachable set; domain of attraction; set oriented numerical method; robustness
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-5485-9
Date Deposited: 11 May 2021 11:22
Last Modified: 11 May 2021 11:22
URI: https://epub.uni-bayreuth.de/id/eprint/5485

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