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On Indefinite Damping and Gyroscopic Stabilization

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

Official URL: Volltext

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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