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  Computation of Coprime Factorizations of Rational Matrices

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http://www.robotic.dlr.de/control/publications/1997/varga_cdc97p1.pdf
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Abstract:

We propose a numerically reliable state space algorithm for computing coprime factorizations of rational matrices with factors having poles in a given stability domain. The new algorithm is based on a recursive generalized Schur technique for poles dislocation by means of proportional-derivative state feedback. The proposed algorithm is generally applicable regardless the underlying descriptor state space representation is minimal or not, or is stabilizable/detectable or not. 1

Citations

89 An algorithm for the generalized matrix eigenvalue problem – Moler, Stewart - 1973
35 A generalized eigenvalue approach for solving Riccati equations – Dooren - 1981
24 A generalized state-space for singular systems – Verghese, L'evy, et al. - 1981
24 A Schur method for pole assignment – Varga - 1981
16 Classical Network Theory – Belevitch - 1968
14 Controller reduction via stable factorization and balancing – Liu, Anderson - 1986
13 On stabilization of descriptor systems – Varga - 1995
7 Rational and polynomial matrix factorizations via recursive pole-zero cancellation – Dooren - 1990
6 Generalized Schur methods to compute coprime factorizations of rational matrices – Varga - 1994
6 Computation of transfer function matrices of generalized state-space models – Varga - 1989
6 The numerical stability of an algorithm for pole assignment – Varga - 1982
1 State space algorithms for polynomial matrix computations – Kwakernaak - 1995
1 On the irreducible cascade synthesis of a system with real rational transfer matrix – Vandewalle, Dewilde - 1977
1 Doubly coprime matrix-fraction representations using pro and derivative feedback concepts in generalized state-space systems – Chang, Fang, et al. - 1991
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