New coprime polynomial fraction representation of transfer function matrix

Yelena M. Smagina

Kybernetika (2001)

  • Volume: 37, Issue: 6, page [725]-735
  • ISSN: 0023-5954

Abstract

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A new form of the coprime polynomial fraction C ( s ) F ( s ) - 1 of a transfer function matrix G ( s ) is presented where the polynomial matrices C ( s ) and F ( s ) have the form of a matrix (or generalized matrix) polynomials with the structure defined directly by the controllability characteristics of a state- space model and Markov matrices H B , H A B , ...

How to cite

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Smagina, Yelena M.. "New coprime polynomial fraction representation of transfer function matrix." Kybernetika 37.6 (2001): [725]-735. <http://eudml.org/doc/33561>.

@article{Smagina2001,
abstract = {A new form of the coprime polynomial fraction $C(s)\,F(s)^\{-1\}$ of a transfer function matrix $G(s)$ is presented where the polynomial matrices $C(s)$ and $F(s)$ have the form of a matrix (or generalized matrix) polynomials with the structure defined directly by the controllability characteristics of a state- space model and Markov matrices $HB$, $HAB$, ...},
author = {Smagina, Yelena M.},
journal = {Kybernetika},
keywords = {coprime polynomial fraction; transfer function matrix; polynomial matrix; Markov matrices; state-space model; coprime polynomial fraction; transfer function matrix; polynomial matrix; Markov matrices; state-space model},
language = {eng},
number = {6},
pages = {[725]-735},
publisher = {Institute of Information Theory and Automation AS CR},
title = {New coprime polynomial fraction representation of transfer function matrix},
url = {http://eudml.org/doc/33561},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Smagina, Yelena M.
TI - New coprime polynomial fraction representation of transfer function matrix
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 6
SP - [725]
EP - 735
AB - A new form of the coprime polynomial fraction $C(s)\,F(s)^{-1}$ of a transfer function matrix $G(s)$ is presented where the polynomial matrices $C(s)$ and $F(s)$ have the form of a matrix (or generalized matrix) polynomials with the structure defined directly by the controllability characteristics of a state- space model and Markov matrices $HB$, $HAB$, ...
LA - eng
KW - coprime polynomial fraction; transfer function matrix; polynomial matrix; Markov matrices; state-space model; coprime polynomial fraction; transfer function matrix; polynomial matrix; Markov matrices; state-space model
UR - http://eudml.org/doc/33561
ER -

References

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  13. Smagina, Ye. M., New approach to transfer function matrix factorization, In: Proc. 1997 IFAC Conference on Control of Industrial Systems, Pergamon France 1997, 1, pp. 307–312 (1997) 
  14. Stefanidis P., Paplinski A. P., Gibbard M. J., Numerical operations with polynomial matrices (Lecture Notes in Control and Inform, Sciences 171). Springer, Berlin 1992 MR1151835
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  17. Wolovich W. A., Linear Multivariable Systems, Springer, New York 1974 Zbl0534.93026MR0359881
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