Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Numerics

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005503
URN to cite this document: urn:nbn:de:bvb:703-epub-5503-1

Title data

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Numerics.
Bayreuth , 2004

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Abstract

We present a numerical method for the computation of control Lyapunov functions on the domain of nullcontrollability of a nonlinear system. We apply an adaptive semi--Lagrangian discretization technique to a generalized version of the Zubov equation whose solutions provide such Lyapunov functions. In particular, we address regularization issues which need to be resolved before the scheme is applicable and discuss an adaptive space discretization technique.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen In: IFAC Proceedings Volumes. Bd. 37 (2004) Heft 13 . - S. 715-720
Keywords:	Asymptotic nullcontrollability; domain; Zubov's method; control Lyapunov function; semi{Lagrangian discretization; dynamic programming
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-5503-1
Date Deposited:	12 May 2021 13:19
Last Modified:	12 May 2021 13:19
URI:	https://epub.uni-bayreuth.de/id/eprint/5503

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