Cross-Gramian-Based Model Reduction: A Comparison

By Himpe Christian and Ohlberger Mario
Modeling, Simulation and Applications (2017)

1 companion websites

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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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Suggested citation

Himpe C. and Ohlberger M. (2017) Cross-Gramian-Based Model Reduction: A Comparison. Modeling, Simulation and Applications, 17, 271--283.

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