A Determinant Identity and Its Application in Evaluating Frequency Response Matrices

Abstract

This paper is concerned with the computation of frequency response matrices of linear multi-variable systems described by their state-space equations. A determinant identity is used to evaluate these matrices that play an important role in frequency domain analysis and design of linear multivariable systems.The algorithm proposed here is believed to be considerably faster and at least as accurate as other existing ones. This is illustrated by means of operations counts and numerical examples. It is also shown that the proposed method can be easily adapted for implementation in a parallel processing environment.