Realization in generalized state space form for 2-d polynomial system matrices

Abstract EN

In this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) form, such that all the relevant properties including the zero structure of the system matrix are retained.

It is shown that the transformation linking the original 2-D polynomial system matrix with its associated GSS form is zero cop rime system equivalence.

The exact nature of the resulting system matrix in GSS form and the transformation involved are established.