In this paper, it is shown that any arbitrary 2-D polynomial system matrix can be reduced by zero coprime system equivalence to a generalized state space form. The exact form of both the generalized state space (GSS) system matrix and the transformation linking it to the original system matrix are established.
— The connection between the polynomial matrix descriptions (PMD's) of the various singular 2-D linear models is considered. It is shown that the transformation of zero coprime system equivalence provides the basis for the reduction of any given singular 2-D general PMD to a singular Roesser form. The exact form of the transformation is established.