ABSTRACT
The transfer function G (z) of a SISO system is defined as the ratio of the Z—transform of the system output to the Z—transform of the system input under all zero initial conditions. It is well known that the transfer function is the Z—transform of the unit impulse response of the system under all zero initial conditions. By following that definition, the transfer function matrix of a MIMO system is defined as the matrix composed of the system transfer functions, which relates the Z—transform of the output vector to the Z—transform of the input vector under all zero initial conditions 2, 6, 8, 14, 18, 41, 61, 80, 81, 89, 96, 101, 108, 110, 122. That definition expresses the physical sense of the transfer function matrix from the point of view of the transmission and the transformation of the input vector onto and into the output system response, respectively.
