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Calculating the domain of attraction : Zubov's method and extensions

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005510
URN to cite this document: urn:nbn:de:bvb:703-epub-5510-0

Title data

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Calculating the domain of attraction : Zubov's method and extensions.
Bayreuth , 2005

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Abstract

In a seminal work V.I. Zubov has described a constructive method to obtain Lyapunov functions. This method is the first to allow numerical construction of domains of attraction for general nonlinear systems. In this paper we describe recent generalizations of this method that is applicable for systems subject to perturbations or control inputs.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Proceedings of the Stability and Control Processes Conference (SCP 2005), dedicated to the 75th birthday anniversary of V. I. Zubov. - St. Petersburg , 2005 . - S. 27-36
Keywords: Domain of attraction; Robust Lyapunov function; Control Lyapunov function; Zubov’s 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) > 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-5510-0
Date Deposited: 14 May 2021 09:41
Last Modified: 17 Jun 2021 09:54
URI: https://epub.uni-bayreuth.de/id/eprint/5510

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