## Title data

Falcone, M. ; Grüne, Lars ; Wirth, F.:

**A maximum time approach to the computation of robust domains of attraction.**

*In:* Fiedler, Bernold ; Gröger, Konrad ; Sprekels, Jürgen
(ed.):
International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999. Volume 1. -
Singapore
: World Scientific
,
2000
. - pp. 844-849

ISBN 9810243596

## Related URLs

## Abstract in another language

We present an optimal control based algorithm for the computation of robust domains of attraction for perturbed systems. We give a sufficient condition for the continuity of the optimal value function and a characterization by Hamilton-Jacobi equations. A numerical scheme is presented and illustrated by an example.

## Further data

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

Refereed: | Yes |

Keywords: | numerical example; dynamical systems; stability; optimal control; algorithm; domains of attraction; Hamilton-Jacobi equations |

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 500 Science > 510 Mathematics |

Date Deposited: | 22 Feb 2021 07:35 |

Last Modified: | 07 May 2021 06:38 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63249 |