Linear algebra and its applications vol:122 pages:973-1002
A canonical algorithm for minimal partial realization of MIMO systems is given. The paper starts from the work of Dickinson et al. and Anderson et al. but reformulates it in the style of Antoulas so that the elements to construct a matrix continued fraction are obtained. It gives a detailed explicit algorithm to compute a uniquely defined canonical form of this continued fraction. A number of remarkable properties of this canonical form are proved. An example is included.