Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft
International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 2, pp. 321-331
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A new algorithm is presented for the computation of the coefficients of the determinantal polynomial and the coefficients of the adjoint polynomial matrix of a given two-dimensional (2-D) state space model of Fornasini-Marchesini type. The algorithm has been implemented in Matlab and uses the discrete Fourier transform (DFT). The simplicity and efficiency of the technique are illustrated by two examples.
Keywords:
two dimensions system theory, Fourier transform, DFT algorithm, Fornasini-Marchesini's model
Mots-clés : teoria systemów, transformata Fouriera
Mots-clés : teoria systemów, transformata Fouriera
@article{IJAMCS_2000_10_2_a6,
author = {Antoniou, G. and Emmons, K.},
title = {Fornasini-Marchesini {2-D} {State} {Space} {Models:} {Transfer} {Function} {Computation} {Via} the {Dft}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {321--331},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_2_a6/}
}
TY - JOUR AU - Antoniou, G. AU - Emmons, K. TI - Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft JO - International Journal of Applied Mathematics and Computer Science PY - 2000 SP - 321 EP - 331 VL - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_2_a6/ LA - en ID - IJAMCS_2000_10_2_a6 ER -
%0 Journal Article %A Antoniou, G. %A Emmons, K. %T Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft %J International Journal of Applied Mathematics and Computer Science %D 2000 %P 321-331 %V 10 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_2_a6/ %G en %F IJAMCS_2000_10_2_a6
Antoniou, G.; Emmons, K. Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft. International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 2, pp. 321-331. http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_2_a6/