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arXiv · 1606.03954

Cross-Gramian-Based Model Reduction: A Comparison

Christian Himpe·Mario Ohlberger
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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 to the cross Gramian itself.

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Christian Himpe, Mario Ohlberger. 2016-06-13. Cross-Gramian-Based Model Reduction: A Comparison. https://arxiv.org/abs/1606.03954

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