## Title data

Grüne, Lars ; Wirth, Fabian:

**Computing control Lyapunov functions via a Zubov type algorithm.**

*In:*
Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. -
Piscataway, NJ
: IEEE Publ.
,
2000
. - pp. 2129-2134

ISBN 0-7803-6638-7

DOI: https://doi.org/10.1109/CDC.2000.914109

## Related URLs

## Abstract in another language

Under the assumption of local asymptotic nullcontrollability we define the domain of asymptotic nullcontrollability. On this set we define a control Lyapunov function via an optimal control problem. It is shown that this function can be characterized as the unique viscosity solution of a partial differential equation which can be interpreted as a generalization of Zubov's equation.

## 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 500 Science > 510 Mathematics |

Date Deposited: | 22 Feb 2021 09:15 |

Last Modified: | 07 May 2021 08:27 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63278 |