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

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005504
URN to cite this document: urn:nbn:de:bvb:703-epub-5504-7

Title data

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

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Abstract

In this paper we study the domain of asymptotic nullcontrollability of control systems. It is shown that this domain may be characterized by optimal control problems whose value function is the unique viscosity solution of a suitable first-order PDE. This value function turns out to be a control Lyapunov function. The approach generalizes Zubov's method.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
IFAC Proceedings Volumes. Bd. 37 (2004) Heft 13 . - S. 709-714
Keywords: Asymptotic nullcontrollability; domain; Zubov's method; control Lyapunov function
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-5504-7
Date Deposited: 12 May 2021 13:25
Last Modified: 12 May 2021 13:25
URI: https://epub.uni-bayreuth.de/id/eprint/5504

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