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arXiv · 1706.09882

Model reduction of controlled Fokker--Planck and Liouville-von Neumann equations

Peter Benner·Tobias Breiten·Carsten Hartmann·Burkhard Schmidt
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Abstract

Model reduction methods for bilinear control systems are compared by means of practical examples of Liouville-von Neumann and Fokker--Planck type. Methods based on balancing generalized system Gramians and on minimizing an H2-type cost functional are considered. The focus is on the numerical implementation and a thorough comparison of the methods. Structure and stability preservation are investigated, and the competitiveness of the approaches is shown for practically relevant, large-scale examples.

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Peter Benner, Tobias Breiten, Carsten Hartmann, Burkhard Schmidt. 2017-06-26. Model reduction of controlled Fokker--Planck and Liouville-von Neumann equations. https://doi.org/10.3934/jcd.2020001

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