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 ==Description: Random Example==

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	~~'''This is a stub. Please expand.'''~~

	==Description: Random Example==		==Description: Random Example==

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{{preliminary}} 

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:Sparse]]
[[Category:SISO]]

'''This is a stub. Please expand.'''

==Description: Random Example==

This benchmark models is a randomly generated system.
More details can be found in <ref name="declippel97"/> and <ref name="chahlaoui02"/>, <ref name="chahlaoui05"/>.

==Origin==

This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>.

==Data==

The system matrices <math>A</math>, <math>B</math>, <math>C</math> are available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/random.zip random.zip] and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
\dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>A \in \mathbb{R}^{200 \times 200}</math>,
<math>B \in \mathbb{R}^{200 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 200}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::Niconet e.V., '''SLICOT - Subroutine Library in Systems and Control Theory''', http://www.slicot.org

@MANUAL{slicot_rand,
title = {{SLICOT} - Subroutine Library in Systems and Control Theory},
organization = {Niconet e.V.}
address = <nowiki>{\url{http://www.slicot.org}}</nowiki>,
key = {SLICOT}
}

* For the background on the benchmark:

@MASTERSTHESIS{DeC97,
author = <nowiki>{V. De Clippel}</nowiki>,
title = {Mod\`eles R\'eduits de Grands Syst\`emes Dynamiques},
school = {Universit\'e Catholique de Louvain},
year = {1997}
}

==References==

<references>

<ref name="declippel97"> V. De Clippel. Modeles Reduits de Grands Systemes Dynamiques. Universite catholique de Louvain, 1997.</ref>

<ref name="chahlaoui02"> Y. Chahlaoui, P. Van Dooren, <span class="plainlinks">[http://eprints.maths.manchester.ac.uk/1040/1/ChahlaouiV02a.pdf A collection of Benchmark examples for model reduction of linear time invariant dynamical systems]</span>, Working Note 2002-2: 2002.</ref>

<ref name="chahlaoui05"> Y. Chahlaoui, P. Van Dooren, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_24 Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 379--392, 2005.</ref>

</references>

Random - Revision history

Malhotra: infobox string

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