A collection of benchmark examples for model reduction of linear time invariant dynamical systems.

By Younes Chahlaoui, P. Dooren. 2002

367 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/803a7862f27093540148cd518b30a4f4319932da

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In Control and Systems Engineering

In Numerical Analysis

In Statistical and Nonlinear Physics

Citations in the corpus

On the Parameter Selection Problem in the Newton-ADI Iteration for Large Scale Riccati Equations (2007, background): “where is a function of time , vertical position and horizontal position on the square with opposite corners and . The example is taken from the SLICOT collection of benchmark examples for model reduction of linear time-invariant dynamical systems; see [ 11, Section 2.7 ] for details.”
NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013, background): “This is a 60×60 quadratic polynomial Q(λ) = λ(2)M +λC+K, with M = I60 arising in the study of a CD player control task [9], [10].”
Order reduction of large scale second-order systems using Krylov subspace methods (2006, methodology): “In this section, we apply the algorithms, described in the previous sections to a clamped beam model2 [23,24].”
The AAA Algorithm for Rational Approximation (2016, methodology): “Our final example is the clamped beam model from the NICONET collection of examples for model order reduction by Chahlaoui and Van Dooren [22].”
Model reduction and the solution of Sylvester equations (2006, methodology): “This system describes the dynamics between the lens actuator and the radial arm position of a portable compact disc player [ 7 ].”
Structure Preserving Order Reduction of Large Scale Second Order Systems (2004, methodology): “First, we consider the model of a building (the Los Angeles University Hospital) with 8 floors each having 3 degrees of freedom, namely displacement in x and y directions, and rotation (Antoulas and Sorenson 2001, Chahlaoui and Van Dooren 2002 ).”
Balanced truncation model reduction of second-order systems (2008, methodology): “We consider three models: the building model, the International Space Station (ISS) model and the clamped beam model, see [4] for detailed description.”
FACTORIZED SOLUTION OF SYLVESTER EQUATIONS WITH APPLICATIONS IN CONTROL (2004, methodology): “This is a test example frequently encountered in the literature [1, 10, 21, 26] and”
Second-order balanced truncation (2006, background): “This is done for six different benchmark models obtained from [7]: the building model (‘B’), the cd-player model and its symmetric version (‘CD’), the international space station model and its symmetric version (‘ISS’), and the clamped beam model (‘CB’).”