and is distributed by the Working Group on Software WGS. WGS secretariat:
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183
|
Principal component analysis in linear systems: Controllability, observability, and model reduction
– Moore
- 1981
|
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159
|
All optimal Hankel-norm approximations of linear multivariable systems and their L ∞ norms
– Glover
- 1984
|
|
109
|
Optimal Control: Linear Quadratic Methods
– Anderson, Moore
- 1989
|
|
109
|
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
|
|
59
|
Dooren, “The periodic Schur decomposition. Algorithms and applications
– Bojanczyk, Golub, et al.
- 1992
|
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53
|
Numerical solution of the discrete-time periodic Riccati equation
– Laub, Hench
- 1994
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52
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Numerical solution of the stable, non-negative definite Lyapunov equation
– HAMMARLING
- 1982
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46
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SLICOT -- A subroutine library in systems and control theory
– Benner, Mehrmann, et al.
- 1999
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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
|
User guide for MINPACK-1
– More, Garbow, et al.
- 1980
|
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39
|
Generalized Eigenproblem Algorithms and Software for Algebraic Riccati Equations
– Arnold, Laub
- 1984
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37
|
Efficient minimal realization procedure based on balancing
– Varga
- 1991
|
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36
|
A Transformation Approach to Stochastic Model Reduction
– Desai, Pal
- 1984
|
|
36
|
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
|
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
|
A Schur method for balancedtruncation model reduction
– Safonov, Chiang
- 1989
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27
|
Contributions to the Numerical Solution of Algebraic Riccati Equations and Related Eigenvalue Problems
– Benner
- 1997
|
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22
|
Controller reduction: concepts and approaches
– Anderson, Liu
- 1989
|
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22
|
Singular Perturbation Approximation of Balanced Systems
– Liu, Anderson
- 1989
|
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22
|
Model Reduction via Balanced State Space Representations
– Pernebo, Silverman
- 1982
|
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18
|
Solving Ordinary Differential Equations, Vol. I, second revised edition
– Hairer, Nrsett, et al.
- 1993
|
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17
|
Balancing-free square-root algorithm for computing singular perturbation approximations
– Varga
- 1991
|
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16
|
Model Reduction for Control System Design. Communications and Control Engineering Series
– Obinata, Anderson
- 2001
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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
|
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
|
Frequency-Weighted optimal Hankel-norm approximation of stable transfer functions
– Lathan, Anderson
- 1985
|
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12
|
Model reduction for robust control: a Schur relative error method
– Safonov, Chiang
- 1988
|
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12
|
Computation of coprime factorizations of rational matrices
– Varga
- 1998
|
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12
|
Model reduction software in the SLICOT library
– Varga
- 2001
|
|
12
|
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
|
Enhanced modal approach for model reduction
– Varga
- 1995
|
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11
|
Synthesis of positive real multivariable feedback systems
– Safonov, Jonckheere, et al.
- 1987
|
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11
|
Symplectic balancing of Hamiltonian matrices
– Benner
- 2000
|
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10
|
A Schur method for computing coprime factorizations with inner denominators and applications in model reduction
– Varga
- 1993
|
|
10
|
A new square-root balancing-free stochastic truncation model reduction algorithm
– Varga, Fasol
- 1993
|
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10
|
Frequency-weighted Balanced Reduction of Closed-loop Mechanical Servo-systems: Theory and Tools
– Wortelboer
- 1994
|
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9
|
A new method for computing the closed loop eigenvalues of a discrete-time algebraic Riccati equation
– Lin
- 1987
|
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8
|
Engineering and scientific Computing with Scilab
– Gomez
- 1999
|
|
8
|
Discrete normalized coprime factorization
– Bongers, Heuberger
- 1990
|
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8
|
Normalized coprime factorization for nonstrictly proper systems
– Vidyasagar
- 1988
|
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7
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Coprime factorization controller reduction with Bezout identity induced frequency weighting
– Liu, Anderson, et al.
- 1990
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