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  Model reduction software in the SLICOT library (2001) [12 citations — 5 self]

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by A. Varga
Applied and Computational Control, Signals, and Circuits, volume 629 of The Kluwer International Series in Engineering and Computer Science
http://www.robotic.dlr.de/control/publications/2000/varga_cacsd2000p1.pdf
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Abstract:

We describe the model reduction software developed recently for the control and systems library SLICOT. Besides a powerful collection of Fortran 77 routines implementing the last algorithmic developments for several well-known balancing related methods, we also describe model reduction tools developed to facilitate the usage of SLICOT routines in user friendly environments like Matlab or Scilab. Extensive testing of the implemented tools has been done using both special benchmark problems as well as models of several complex industrial plants. Testing results and performance comparisons show the superiority of SLICOT model reduction tools over existing model reduction software. 1

Citations

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159 All optimal Hankel-norm approximations of linear multivariable systems and their L ∞ norms – Glover - 1984
52 Numerical solution of the stable, non-negative definite Lyapunov equation – HAMMARLING - 1982
46 SLICOT -- A subroutine library in systems and control theory – Benner, Mehrmann, et al. - 1999
44 Truncated balanced realization of a stable non-minimal state-space system – Tombs, Postlethwaite - 1987
37 Efficient minimal realization procedure based on balancing – Varga - 1991
35 LAPACK users’ guide, Third edition – Anderson, Bai, et al. - 1999
22 Singular Perturbation Approximation of Balanced Systems – Liu, Anderson - 1989
17 Balancing-free square-root algorithm for computing singular perturbation approximations – Varga - 1991
11 Enhanced modal approach for model reduction – Varga - 1995
10 A Schur method for computing coprime factorizations with inner denominators and applications in model reduction – Varga - 1993
8 Engineering and scientific Computing with Scilab – Gomez - 1999
7 Coprime factors model reduction based on accuracy enhancing techniques. Systems Analysis Modelling and Simulation – Varga - 1993
6 A Schur method for balanced truncation model reduction – Safonov, Chiang - 1989
6 Numerical methods and software tools for model reduction – Varga - 1994
3 Object-oriented modeling and automatic formula manipulation – Elmquist - 1993
2 Control system analysis and design using Mathematica – Munro - 1998
1 RASP Model Order Reduction Programs – Varga - 1992
1 HTOOLS - A Toolbox for solving H∞ and H2 synthesis problems – Varga, Ionescu - 1991