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On indefinite damping and gyroscopic stabilization

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If you have a question about this talk, please contact Alberto Padoan.

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 $K^{-1}D$ is negative. In the present talk we discuss sufficiency of this condition. As tools we derive results on hollow matrices and symplectic transformations.

This talk is part of the CUED Control Group Seminars series.

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