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.
CITATION STYLE
Himpe, C., & Ohlberger, M. (2017). Cross-Gramian-based model reduction: A comparison. In Modeling, Simulation and Applications (Vol. 17, pp. 271–283). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-58786-8_17
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