Characterization and computation of transmission zeros of singular multivariable systems

Abstract

Presented is a state-space characterization of transmission zeros of 'singular' linear multivariable system models (E, A, B, C, D), where E is a singular matrix. The characterization is based on defining the transmission zeros as the finite zeros of the transfer function matrix of the given 5-tuple. Based on the proposed characterization, a numerical algorithm is developed for computation of the transmission zeros of singular systems. Several numerical examples are included to illustrate the proposed scheme.<>