Oberseminar "Dynamische Systeme und Kontrolltheorie" - Prof. Dr. Tobias Damm
On indefinite damping and gyroscopic stabilization
Date: | 07/07/2023, 2:00 PM - 3:00 PM |
Category: | Veranstaltung |
Location: | Hubland Nord, Geb. 40, 01.003 |
Speaker: | Prof. Dr. Tobias Damm, Technische Universität Kaiserslautern |
We consider linear vibrational systems with positive definite stiffness matrix K and indefinite damping matrix D. For the systemto be stabilizable by gyroscopic forces it is necessary that both the trace of D and the trace of K-1D is negative. In the present talk we discuss sufficiency of this condition. As tools we derive results on hollow matrices and symplectic transformations.