This paper presents an identification procedure for a multivariable system based on the system theory developed recently. In this procedure, the pulse transfer function is identified from the input and the output data, and the minimum dimensional realization is derived. Even in case that the input-output data are contaminated by noise, a slight modification of the method for noiseless case maked it possible to identify the pulse transfer function, and to realize the system practically by defining the ε-practical controllability. This paper also clarifies that the minimal realization gives the so-called order of the system.
