Preprint No. MPIMD/11-13

Title: Improved second-order balanced truncation for symmetric systems

Author(s): Peter Benner, Patrick Kürschner, Jens Saak


Date: 2011-12-23


We investigate second order balanced truncation model order reduction for symmetric linear time invariant second order control systems. This special structure decreases the required computational effort significantly. Moreover, we show how stability of the original model can be preserved for such systems. We briefly discuss the numerical solution of the occurring large-scale Lyapunov equations with a modified low-rank ADI method. The approach is tested on finite element models of mechanical structures.


author = {Peter Benner and Patrick Kürschner and Jens Saak},
title = {Improved second-order balanced truncation for symmetric systems},
number = {MPIMD/11-13},
month = dec,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{}},

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