State-space realizations of MIMO 2D discrete linear systems Elementary operation and variable inversion approach

Abstract

Elementary operations are an alternative to the polynomial system matrix for studying basic systems theoretic properties of standard (1D) linear systems, such as state-space realizations. In the general area of nD systems, there is a basic need to analyse both rational and polynomial matrices in n indeterminates. This paper develops key results on using elementary operations and variable inversions to produce equivalent state-space realizations of MIMO 2D systems.