Random

Random

Background
Benchmark ID	random_n200m1q1
Category	slicot
System-Class	LTI-FOS
Parameters
nstates	200
ninputs	1
noutputs	1
nparameters	0
components	A, B, C
Copyright
License	NA
Creator	Christian Himpe
Editor	Christian Himpe
Location
NA

Description: Random Example

This benchmark models is a randomly generated system. More details can be found in and , .

Origin

This benchmark is part of the SLICOT Benchmark Examples for Model Reduction.

Data

The system matrices $A$, $B$, $C$ are available from the SLICOT benchmarks page: random.zip and are stored as MATLAB .mat file.

Dimensions

System structure:

$\begin{array}{rcl} \dot{x}(t) &=& Ax(t) + Bu(t) \\ y(t) &=& Cx(t) \end{array}$

System dimensions:

$A \in \mathbb{R}^{200 \times 200}$, $B \in \mathbb{R}^{200 \times 1}$, $C \in \mathbb{R}^{1 \times 200}$.

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 =      {\url{http://www.slicot.org}},
 key =          {SLICOT}
}

• For the background on the benchmark:

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