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A Generalization of Zubov's Method to Perturbed Systems

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005486
URN to cite this document: urn:nbn:de:bvb:703-epub-5486-5

Title data

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A Generalization of Zubov's Method to Perturbed Systems.
Bayreuth , 2001

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Abstract

A generalization of Zubov's theorem on representing the domain of attraction via the solution of a suitable partial differential equation is presented for the case of perturbed systems with a singular fixed point. For the construction it is necessary to consider solutions in the viscosity sense. As a consequence maximal robust Lyapunov functions can be characterized as viscosity solutions.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
SIAM Journal on Control and Optimization. Bd. 40 (2001) Heft 2 . - S. 496-515
Keywords: Asymptotic stability; Zubov's method; Robust stability; Domain of attraction; Viscosity solutions
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-5486-5
Date Deposited: 11 May 2021 11:27
Last Modified: 11 May 2021 11:27
URI: https://epub.uni-bayreuth.de/id/eprint/5486