Cross-Gramian-Based Model Reduction: A Comparison

By Himpe Christian and Ohlberger Mario
Working Paper (2016)

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Hochs Peter and Roberts A.J.

New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian

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Rydel Marek

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Grundel Sara, Himpe Christian, and Saak Jens

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Himpe Christian, Leibner Tobias, Rave Stephan, and Saak Jens

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Himpe Christian

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International Series of Numerical Mathematics (2013)

Mohamed Kamel Riahi, Maday Yvon, and Julien salomon

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Working Paper (2015)

Himpe Christian and Ohlberger Mario

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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Please cite the paper as follows:

Himpe C. and Ohlberger M. (2016) Cross-Gramian-Based Model Reduction: A Comparison. Working Paper.

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