## Title data

Grüne, Lars:

**Homogeneous control Lyapunov functions for homogeneous control systems.**

*In:* el Jai, Abdelhaq
(ed.):
Mathematical Theory of Networks and Systems. -
Zielona Gora
: Techn. Univ. Press
,
2001

## Related URLs

## Abstract in another language

We show that any asymptotically controllable homogeneous control system admits a homogeneous control Lyapunov function. As a consequence, we obtain that any such system admits a stabilizing discontinuous sampled feedback, where the sampling rate is bounded from below depending on the degree of the homogeneity. Furthermore, we show that asymptotic controllability of a homogeneous system implies local asymptotic controllability of an approximated system.

## Further data

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

Refereed: | Yes |

Additional notes: | (= International Journal of Applied Mathematics and Computer Science ; 11,1) |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science 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 Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science 500 Science > 500 Natural sciences |

Date Deposited: | 22 Feb 2021 08:43 |

Last Modified: | 07 May 2021 07:54 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63263 |