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Control Lyapunov Functions and Zubov's Method

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005562
URN to cite this document: urn:nbn:de:bvb:703-epub-5562-8

Title data

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Control Lyapunov Functions and Zubov's Method.
Bayreuth , 2004

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Abstract

For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov functions may be constructed on the domain of asymptotic null-controllability as viscosity solutions of a first order PDE that generalizes Zubov's equation. The solution is also given as the value function of an optimal control problem from which several regularity results may be obtained.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
SIAM Journal on Control and Optimization. Bd. 47 (Januar 2008) Heft 1 . - S. 301-326
Keywords: Asymptotic null-controllability; Control Lyapunov functions; Hamilton-Jacobi-Bellman equation; Viscosity solutions; 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-5562-8
Date Deposited: 20 May 2021 07:16
Last Modified: 20 May 2021 07:16
URI: https://epub.uni-bayreuth.de/id/eprint/5562
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