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We consider a second-order linear system of ordinary differential equations(ODEs) including random variables. A stochastic Galerkin method yields a largerdeterministic linear system of ODEs. We apply a model order reduction (MOR) ofthis high-dimensional linear dynamical system, where its internal energyrepresents a quadratic quantity of interest. We investigate the properties ofthis MOR with respect to stability, passivity, and energy dissipation.Numerical results are shown for a system modelling a mass-spring-damperconfiguration.

Energy-based model order reduction for linear stochastic Galerkin systems of second order