Structure of Polynomial Models of 2-D Systems

摘要

The structure of two Dimensional (2-D) systems is investigated by using thepolynomials of a Matrix Fraction Description (MFD) and the more general model of a Rosenbrock System Matrix (RSM). It is shown that although there are two types of MFD, the type is unique to the given transfer function matrix. The basic structure theorem governing all MFDs of the given two dimensional transfer function matrix is derived. In the case of two dimensional RSM models, the question of minimality is considered and the relationship between different RSM realizations of a given transfer function matrix is discussed.