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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

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