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  Computation of least order solutions of linear rational equations (2004) [2 citations — 1 self]

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by A. Varga, Dlr Oberpfaffenhofen
Proc. of MTNS’04
http://www.robotic.dlr.de/control/publications/2004/varga_mtns04p1.pdf
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Abstract:

We propose a numerically reliable approach for computing solutions of least McMillan order of linear equations with rational matrix coefficients. The main computational ingredients are the orthogonal reduction of the associated system matrix pencil to a certain Kronecker-like staircase form and the solution of a minimal dynamic cover design problem. For these computations we discuss numerically reliable algorithms relying on matrix pencil and descriptor system techniques. 1

Citations

64 Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems – Forney - 1997
46 SLICOT -- A subroutine library in systems and control theory – Benner, Mehrmann, et al. - 1999
40 An improved algorithm for the computation of Kronecker's canonical form of a singular – Beelen, Dooren - 1988
26 Inversion of Multivariable Linear Systems – SILVERMAN - 1969
18 Computation of Kronecker-like forms of a system pencil: Applications, algorithms and software – Varga - 1996
15 Computation of irreducible generalized state-space realizations – Varga - 1989
12 New algorithms for computing the Kronecker structure of a pencil with applications to systems and control theory – Beelen - 1987
12 Computation of coprime factorizations of rational matrices – Varga - 1998
12 A descriptor systems toolbox for Matlab – Varga - 2000
8 Minimal solutions to transfer matrix equations – Morse - 1976
6 Stable inversion of linear systems – Moylan - 1977
5 Rational matrix structure – Verghese, Kailath - 1981
4 On computing least order fault detectors using rational nullspace bases – Varga - 2003
4 Reliable algorithms for computing minimal dynamic covers – Varga - 2003
4 A minimization algorithm for the design of linear multivariable systems – Wang, Davison - 1973
3 Computational issues in fault-detection filter design – Varga - 2002
1 On stable solutions of the one- and two-sided model matching problems – Gao, Antsaklis - 1989
1 New computational approach for the design of fault detection and isolation filters – Varga - 2003
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