This document presents research results of the European Community BRITE-EURAM III
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183
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Principal component analysis in linear systems: Controllability, observability, and model reduction
– Moore
- 1981
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159
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All optimal Hankel-norm approximations of linear multivariable systems and their L ∞ norms
– Glover
- 1984
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109
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The Autonomous Linear Quadratic Control Problem, Theory and Numerical Solution. Number 163
– Mehrmann
- 1991
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61
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Odepack, A systematized collection of ODE solvers
– Hindmarsh
- 1983
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59
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Dooren, “The periodic Schur decomposition. Algorithms and applications
– Bojanczyk, Golub, et al.
- 1992
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53
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Numerical solution of the discrete-time periodic Riccati equation
– Laub, Hench
- 1994
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44
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Truncated balanced realization of a stable non-minimal state-space system
– Tombs, Postlethwaite
- 1987
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44
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A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
– Benner, Mehrmann, et al.
- 1998
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40
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User guide for MINPACK-1
– More, Garbow, et al.
- 1980
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39
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Generalized Eigenproblem Algorithms and Software for Algebraic Riccati Equations
– Arnold, Laub
- 1984
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37
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Efficient minimal realization procedure based on balancing
– Varga
- 1991
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36
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A Transformation Approach to Stochastic Model Reduction
– Desai, Pal
- 1984
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36
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A collection of benchmark examples for the numerical solution of algebraic Riccati equations I: Continuous-time case
– Benner, Laub, et al.
- 1995
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35
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An Introduction to Observers
– Luenberger
- 1971
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34
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A new method for computing the stable invariant subspace of a real Hamiltonian matrix
– Benner, Mehrmann, et al.
- 1997
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34
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Solution of the Sylvester matrix equation
– Gardiner, Laub, et al.
- 1992
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34
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Robust Controller Design Using Normalized Coprime Factor Plant Descriptions
– McFarlane, Glover
- 1990
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33
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A multishift algorithm for the numerical solution of algebraic Riccati equations
– Ammar, Benner, et al.
- 1993
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31
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Model reduction for control system design
– Enns
- 1984
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29
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A Schur method for balancedtruncation model reduction
– Safonov, Chiang
- 1989
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27
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Contributions to the Numerical Solution of Algebraic Riccati Equations and Related Eigenvalue Problems
– Benner
- 1997
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22
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Controller reduction: concepts and approaches
– Anderson, Liu
- 1989
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22
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Singular Perturbation Approximation of Balanced Systems
– Liu, Anderson
- 1989
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17
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Balancing-free square-root algorithm for computing singular perturbation approximations
– Varga
- 1991
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15
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An exact line search method for solving generalized continuous-time algebraic Riccati equations
– Benner, Byers
- 1998
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14
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Controller reduction via stable factorization and balancing
– Liu, Anderson
- 1986
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14
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HAMEV and SQRED: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices using Van Loan's square reduced method
– Benner, Byers, et al.
- 1996
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13
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Frequency-Weighted optimal Hankel-norm approximation of stable transfer functions
– Lathan, Anderson
- 1985
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12
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The Optimal Projection Equations for Model Reduction and the Relationships among the Methods of
– Hyland, Bernstein
- 1985
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12
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An algorithm for computing reducing subspaces by block diagonalization
– Bavely, Stewart
- 1979
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11
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Synthesis of positive real multivariable feedback systems
– Safonov, Jonckheere, et al.
- 1987
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11
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Enhanced modal approach for model reduction
– Varga
- 1995
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11
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Symplectic balancing of Hamiltonian matrices
– Benner
- 2000
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10
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A Schur method for computing coprime factorizations with inner denominators and applications in model reduction
– Varga
- 1993
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10
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A new square-root balancing-free stochastic truncation model reduction algorithm
– Varga, Fasol
- 1993
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10
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Frequency-weighted Balanced Reduction of Closed-loop Mechanical Servo-systems: Theory and Tools
– Wortelboer
- 1994
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9
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A new method for computing the closed loop eigenvalues of a discrete-time algebraic Riccati equation
– Lin
- 1987
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8
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Discrete normalized coprime factorization
– Bongers, Heuberger
- 1990
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8
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Normalized coprime factorization for nonstrictly proper systems
– Vidyasagar
- 1988
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7
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Coprime factors model reduction based on accuracy enhancing techniques. Systems Analysis Modelling and Simulation
– Varga
- 1993
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5
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Numerical solution of the stable, non-negative de nite Lyapunov equation
– Hammarling
- 1982
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5
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The control systems engineering numerical subroutine library RASP
– Grubel, Joos
- 1990
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5
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Additive decomposition of a transfer function with respect to a specified region
– Kagstrom, Dooren
- 1989
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4
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MATRIXx Model Reduction Module
– Anderson, James
- 1991
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4
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On computing 2-norms of transfer function matrices
– Varga
- 1992
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4
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RASP Model Order Reduction Programs. University of Bochum and DLROberpfaffenhofen
– Varga
- 1992
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3
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Solving Ordinary Di erential Equations I, volume 8 of SCM
– Hairer, Norsett, et al.
- 1993
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2
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Parallel solvers for algebraic Riccati equations based on Newton's method
– Benner, Byers, et al.
- 1998
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1
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Model reduction for robust control: aSchur relative error method
– Safonov, Chiang
- 1988
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1
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Explicit formulas for an e cient implementation of the frequency-weighted model reduction approach
– Varga
- 1993
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