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  Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations

Benner, P., Breiten, T., Hartmann, C., & Schmidt, B. (in preparation). Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-73A7-B Version Permalink: http://hdl.handle.net/21.11116/0000-0001-E724-2
Genre: Paper

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1706.09882.pdf (Preprint), 2MB
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 Creators:
Benner, Peter1, Author              
Breiten, Tobias2, Author
Hartmann, Carsten3, Author
Schmidt, Burkhard4, Author
Affiliations:
1Computational Methods in Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738141              
2Institut für Mathematik, Karl-Franzens-Universität, Graz, Austria, ou_persistent22              
3Institut für Mathematik, Brandenburgische Technische Universität, Cottbus, Germany, ou_persistent22              
4Institut für Mathematik, Freie Universität Berlin, Berlin, Germany, ou_persistent22              

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Free keywords: Mathematics, Numerical Analysis, math.NA
 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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 Dates: 2017-06-26
 Publication Status: Not specified
 Pages: -
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 Table of Contents: submitted to SIAM Journal of Applied Dynamical Systems
 Rev. Method: -
 Identifiers: arXiv: 1706.09882
URI: http://arxiv.org/abs/1706.09882
 Degree: -

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