International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2000
Volume 10 - 2000

Fornasini-Marchesini 2-D state space models: Transfer function computation via the DFT

George E. Antoniou, Kelly Emmons

Abstract
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