On zeros of multivariable systems

Abstract

In this paper some new results on zeros of multivariable systems described by the triple (F, G, H) are presented. The zeros are defined as the poles of a minimal order right or left inverse of the transfer function matrix of the system (F, G, H). A factorization procedure for the transfer function matrix is first described and this is then used to show that the zeros of the system (F, G, H) are the same as those of a lower-order system described by the 4-tuple (A, B, C, D). This result is then used to determine the zeros of the system (F, G, H). An example is given to illustrate the main results of the paper.