In order to test the numerical methods
for model reduction we present here a benchmark collection, which contains
some useful "real world" examples reflecting current problems in applications.

The data files retrievable from this page are usually archived in zip
files that are compressed with Ultimate Zip. If you have any problems downloading
or uncompressing the files, please send an email to the SLICOT Technical contact
.

Every data file contains
the default matrices ** A, B, C, D ** and

y(t) = Cx(t) + Du(t)

If

There is also a vector of the Hankel singular values

We give here three kinds of models: dense models, sparse models and second order models (see the report for a detailed description of each one).

The following table give the data files with a short description, if you want to download the entire data files click here .

data |
name of
file(*.zip) |
description |
order
N |
inputs
m |
outputs
p |

Eady example | eady.mat | model of an atmospheric storm track | 598 | 1 | 1 |

Transmission line model | example of a transmission line model | 256 | 2 | 2 | |

CD player | CDplayer.mat | classical CD player model | 120 | 2 | 2 |

PEEC model | peec.mat | partial element equivalent circuit model | 480 | 1 | 1 |

FOM model | fom.mat | 1006 | 1 | 1 | |

Random example | random.mat | 200 | 1 | 1 | |

PDE example | pde.mat | partial differential equation | 84 | 1 | 1 |

Heat equation (continuous case) | heat-cont.mat | heat equation in a thin rod | 200 | 1 | 1 |

Heat equation (discrete case) | heat-disc.mat | discretization of the previous equation | 200 | 1 | 1 |

Orr-Somerfeld example | Orr-Som.mat | Orr-Sommerfeld
operator for Couette flow |
200 | 1 | 1 |

MNA example - 1 | MNA_1.mat | Modified Nodal Analysis model | 578 | 9 | 9 |

MNA example - 2 | MNA_2.mat | " | 9223 | 18 | 18 |

MNA example - 3 | MNA_3.mat | " | 4863 | 22 | 22 |

MNA example - 4 | MNA_4.mat | " | 980 | 4 | 4 |

MNA example - 5 | MNA_5.mat | " | 10913 | 9 | 9 |

International space station | iss.mat | component 1r of the International Space Station | 270 | 3 | 3 |

Building model | build.mat | motion problem in a building | 48 | 1 | 1 |

Clamped beam model | beam.mat | Clamped beam model | 348 | 1 | 1 |

**Available Reports**

*Younès Chahlaoui and Paul Van Dooren: *A collection of
benchmark examples for model reduction of
linear time invariant dynamical systems;
SLICOT Working Note 2002-2: February 2002.

Younès Chahlaoui