Cross-Gramian-Based Model Reduction: A Comparison

Chapter
Part of the MS&A book series (MS&A, volume 17)

Abstract

As an alternative to the popular balanced truncation method, the cross Gramian matrix induces a class of balancing model reduction techniques. Besides the classical computation of the cross Gramian by a Sylvester matrix equation, an empirical cross Gramian can be computed based on simulated trajectories. This work assesses the cross Gramian and its empirical Gramian variant for state-space reduction on a procedural benchmark based on the cross Gramian itself.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute for Computational and Applied MathematicsUniversity of MünsterMünsterGermany

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