## Title data

Damm, Tobias ; Homeyer, Jan:

**On Indefinite Damping and Gyroscopic Stabilization.**

*In:*
Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. -
Milano, Italy
: International Federation of Automatic Control (IFAC)
,
2011
. - pp. 7589-7593
. - (World Congress
; 18,1
)

ISBN 978-3-902661-93-7

DOI: https://doi.org/10.3182/20110828-6-IT-1002.01773

## Related URLs

## Abstract in another language

We consider linear vibrational systems with positive definite stiffness matrix K and indefinite damping matrix D. For the system to be stabilizable by gyroscopic forces it is necessary that both the trace of D and the trace of K⁻¹D [$K^(-1)D$] is positive. In the present note we discuss sufficiency of this condition.

## Further data

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

Refereed: | Yes |

Keywords: | linear systems; structural properties |

Institutions of the University: | 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 > Professorship Applied Mathematics (Applied Mathematics) Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Profile Fields Profile Fields > Advanced Fields |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 25 Mar 2015 07:34 |

Last Modified: | 25 Mar 2015 07:34 |

URI: | https://eref.uni-bayreuth.de/id/eprint/9261 |