Publications by the same author
plus in the repository
plus in Google Scholar

Bibliografische Daten exportieren
 

Differential Games and Zubov's Method

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005626
URN to cite this document: urn:nbn:de:bvb:703-epub-5626-3

Title data

Grüne, Lars ; Serea, Oana Silvia:
Differential Games and Zubov's Method.
Bayreuth , 2011

[thumbnail of gruene_et_al_diff_games_2011.pdf]
Format: PDF
Name: gruene_et_al_diff_games_2011.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (307kB)

Abstract

In this paper we provide generalizations of Zubov's equation to differential games without Isaacs' condition. We show that both generalizations of Zubov's equation (which we call min-max and max-min Zubov equation, respectively) possess unique viscosity solutions which characterize the respective controllability domains. As a consequence, we show that under the usual Isaacs condition the respective controllability domains as well as the local controllability assumptions coincide.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erscheint in:
SIAM Journal on Control and Optimization. Bd. 49 (2011) Heft 6 . - S. 2349-2377
Keywords: asymptotic null controllability; differential games; 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-5626-3
Date Deposited: 26 May 2021 13:05
Last Modified: 07 Jun 2021 11:51
URI: https://epub.uni-bayreuth.de/id/eprint/5626

Downloads

Downloads per month over past year