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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

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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

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