Computation of realizations composed of dynamic and static parts of improper transfer matrices
Kaczorek, Tadeusz
International Journal of Applied Mathematics and Computer Science, Tome 17 (2007), p. 23-25 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:207818 
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     author = {Kaczorek, Tadeusz},
     title = {Computation of realizations composed of dynamic and static parts of improper transfer matrices},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {17},
     year = {2007},
     pages = {23-25},
     zbl = {1133.93320},
     language = {en},
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Kaczorek, Tadeusz. Computation of realizations composed of dynamic and static parts of improper transfer matrices. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) pp. 23-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv17i1p23bwm/

[000] 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. | Zbl 0602.93015

[001] Kaczorek T. (1992): Linear Control Systems, Vol.1. - New York: Wiley. | Zbl 0784.93002

[002] Kailath T. (1980): Linear Systems. - Englewood Cliffs: Prentice-Hall | Zbl 0454.93001

[003] 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. | Zbl 0317.93025

[004] 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. | Zbl 0321.93011

[005] Wolovich W.A. and Guidorsi R. (1977): A general algorithm for determining state-space representations. - Automatica, Vol.13, pp.295-199