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Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft

Antoniou G., Emmons K.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 2

321-331

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.