Computation of realizations composed of dynamic and static parts of improper transfer matrices
International Journal of Applied Mathematics and Computer Science (2007)
- Volume: 17, Issue: 1, page 23-25
- ISSN: 1641-876X
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topKaczorek, Tadeusz. "Computation of realizations composed of dynamic and static parts of improper transfer matrices." International Journal of Applied Mathematics and Computer Science 17.1 (2007): 23-25. <http://eudml.org/doc/207818>.
@article{Kaczorek2007,
abstract = {The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.},
author = {Kaczorek, Tadeusz},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {decomposition; minimal realization; improper transfer matrix; singular linear system},
language = {eng},
number = {1},
pages = {23-25},
title = {Computation of realizations composed of dynamic and static parts of improper transfer matrices},
url = {http://eudml.org/doc/207818},
volume = {17},
year = {2007},
}
TY - JOUR
AU - Kaczorek, Tadeusz
TI - Computation of realizations composed of dynamic and static parts of improper transfer matrices
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 1
SP - 23
EP - 25
AB - The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.
LA - eng
KW - decomposition; minimal realization; improper transfer matrix; singular linear system
UR - http://eudml.org/doc/207818
ER -
References
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- Kaczorek T. (1992): Linear Control Systems, Vol.1. - New York: Wiley. Zbl0784.93002
- Kailath T. (1980): Linear Systems. - Englewood Cliffs: Prentice-Hall Zbl0454.93001
- Roman J.R. and Bullock T.E. (1975): Minimal partial realization in canonical form. - IEEE Trans. Automat. Contr., Vol.AC-20, No.4, pp.529-533. Zbl0317.93025
- Sinha Naresk K. (1975): Minimal realization of transfer function matrices: A comparative study of different methods. - Int. J. Contr., Vol.22, No.5, pp.627-639. Zbl0321.93011
- Wolovich W.A. and Guidorsi R. (1977): A general algorithm for determining state-space representations. - Automatica, Vol.13, pp.295-199
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