Original scientific paper
On some properties of the Lyapunov equation for damped systems
N. Truhar
K. Veselić
Abstract
We consider a damped linear vibrational system whose dampers
depend linearly on the viscosity parameter v. We show that the
trace of the corresponding Lyapunov solution can be represented as
a rational function of v whose poles are the eigenvalues of a
certain skew symmetric matrix. This makes it possible to derive an
asymptotic expansion of the solution in the neighborhood of zero
(small damping).
Keywords
Damped-vibration; Lyapunov equation; optimization of dampers' viscosities
Hrčak ID:
687
URI
Publication date:
22.12.2004.
Visits: 1.089 *