Deutsch Intern
Dynamics and Control

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.