Calculating Markov parameters for multivariable transfer matrices

摘要

The study of some multidimensional continuous-discrete systems leads, by means of multidimensional hybrid Laplace transformations, to a class of multivariable transfer matrices (with separable denominator). In this paper some recurrence formulae are shown for the Markov parameters corresponding to such multivariable transfer matrices. The advantage of using these formulae (with respect to the classical use of the geometric series for finding Laurent coefficients) is highlighted by comparing the number of elementary operations necessary to "fill in" all block Hankel matrices used in the extended Ho-Kalman algorithm.