# 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

top- Christodoulou M.A. and Mertzios B.G. (1985): Realization of singular systems via Markov parameters. - Int. J. Contr., Vol.42, No.6, pp. 1433-1441. Zbl0602.93015
- 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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