Transfer function factorization of SISO 2-D systems using state feedback

Abstract

The problem of factorizing the transfer function of single-input single-output 2-D systems to a product of two 1-D transfer functions using state feedback is considered. It is shown that if the numerator of the open-loop transfer function can, by itself, be written as a product of two 1-D polynomials, then the closed-loop transfer function can, under certain conditions, be factorized as a product of two 1-D transfer functions. In cases where the numerator is not by itself factorizable, then the present results restrict themselves to factoring the denominator of the closed-loop system to a product of two 1-D polynomials.