## Title data

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

**Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Numerics.**

*In:* IFAC Proceedings Volumes.
Vol. 37
(2004)
Issue 13
.
- pp. 715-720.

ISSN 1474-6670

DOI: https://doi.org/10.1016/S1474-6670(17)31309-5

## Related URLs

## Abstract in another language

We present a numerical method for the computation of control Lyapunov functions on the domain of nullcontrollability of a nonlinear system. We apply an adaptive semi--Lagrangian discretization technique to a generalized version of the Zubov equation whose solutions provide such Lyapunov functions. In particular, we address regularization issues which need to be resolved before the scheme is applicable and discuss an adaptive space discretization technique.

## Further data

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

Refereed: | Yes |

Additional notes: | Special Issue: 6h IFAC Symposium on Nonlinear Control Systems 2004 (NOLCOS 2004), Stuttgart, Germany, 1-3 September, 2004 |

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: | Yes |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 02 Mar 2021 08:22 |

Last Modified: | 14 May 2021 09:57 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63489 |