Minimal realizations of transfer-function matrices by means of matrix continued fraction
Leang San Shieh, Yuhui Wei, ROBERT E. YATES · International Journal of Control · 1975
The matrix continued fraction technique is utilized to obtain the minimal realization of a transfer-function matrix with various inputs and outputs. If the ratio of the rank and the order of a square transfer-function matrix is an integer and there are no numerically ill-conditional elements in the matrix, then the matrix Routh algorithm is applied for the minimal realization. A method is also presented to deal with ill-conditional cases.