A method for computing the zeros of transfer functions in linear systems
Rajni V. Patel, V. Sinswat, F. Fallside · International Journal of Systems Science · 1977
This paper presents a method for determining the zeros of individual elements of the transfer function matrix relating the outputs to the inputs of a linear, time-invariant, multivariate system. The zeros are obtained as the eigenvalues of a matrix whose order is the same as the number of zeros. This matrix is derived from the state and output equations of the system by a series of coordinate transformations. Apart from the determination of eigenvalues of a matrix, the coordinate transformations are the only major calculations involved in this method. Hence the method is computationally fast and accurate. Two numerical examples are given to illustrate the method.