## Title data

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:

**A regularization of Zubov's equation for robust domains of attraction.**

*In:* Isidori, Alberto ; Lamnabhi-Lagarrigue, Françoise ; Respondek, Witold
(ed.):
Nonlinear control in the Year 2000. Volume 1. -
Berlin
: Springer
,
2001
. - pp. 277-290
. - (Lecture Notes in Control and Information Sciences
; 258
)

ISBN 978-1-85233-363-8

DOI: https://doi.org/10.1007/BFb0110220

## Related URLs

## Abstract in another language

We derive a method for the computation of robust domains of attraction based on a recent generalization of Zubov's theorem on representing robust domains of attraction for perturbed systems via the viscosity solution of a suitable partial differential equation (available here). While a direct discretization of the equation leads to numerical difficulties due to a singularity at the stable equilibrium, a suitable regularization enables us to apply a standard discretization technique for Hamilton-Jacobi-Bellman equations. We present the resulting fully discrete scheme and show a numerical example.

## Further data

Item Type: | Article in a book |
---|---|

Refereed: | Yes |

Institutions of the University: | 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) 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 |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 22 Feb 2021 08:18 |

Last Modified: | 14 May 2021 09:58 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63253 |