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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