Oberseminar "Dynamische Systeme und Kontrolltheorie" - Prof. Dr. Tobias Damm

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.