Computation of the Transfer Function and Characteristic Equation of Linear Discrete Multidimensional Systems

A general state-space model of a two-dimensional linear multivariable discrete system was introduced by Kurek [1]. This model includes the 2-D models of Attasi [2], Roesser [3], and Fornasini and Marchesini [4]. In this paper, a novel approach for computing the transfer function, the characteristic polynomial, and the adjoint matrix of the Kurek model is given. The procedure involves representation of the system characteristic equation in a matrix polynomial.