## Title data

Grüne, Lars ; Junge, Oliver:

**Optimal stabilization of hybrid systems using a set oriented approach.**

*In:*
MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. -
Kyoto, Japan
: Kyoto Univ.
,
2006
. - pp. 2089-2093

## Abstract in another language

We demonstrate how a recently developed new numerical technique for the construction of approximately optimal stabilizing feedback laws [available here] can naturally be extended in order to handle nonlinear hybrid systems with discrete control inputs. The idea of the method is to explicitly construct a finite graph model of the original hybrid system and to use shortest path algorithms in order to compute the optimal value function and the associated feedback law. As a numerical example, we consider a switched DC/DC power converter.

## 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: | Yes |

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

Date Deposited: | 02 Mar 2021 11:27 |

Last Modified: | 23 Mar 2021 09:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63588 |