## Title data

Grüne, Lars:

**Homogeneous state feedback stabilization of homogeneous systems.**

*In:*
Proceedings of the 39th IEEE Conference on Decision and Control. Volume 4. -
Piscataway, NJ
: IEEE Publ.
,
2000
. - pp. 3409-3414

ISBN 0-7803-6638-7

DOI: https://doi.org/10.1109/CDC.2000.912230

## Related URLs

## Abstract in another language

We show that for any asymptotically controllable homogeneous system in euclidian space (not necessarily Lipschitz at the origin) there exists a homogeneous control Lyapunov function and a homogeneous, possibly discontinuous state feedback law stabilizing the corresponding sampled closed loop system. We also show the relation between the degree of homogeneity and the bounds on the sampling rates which ensure asymptotic stability.

## 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 08:47 |

Last Modified: | 07 May 2021 07:00 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63264 |