An explicit approach to minimal realization from system Markov parameters

A new method for determining a minimal realization of a finite-dimensional linear system from data comprising a set of Markov parameters is presented. The method is based on treating the Markov parameter matrices as the elements of vectors in an inner product space. The novel feature of this approach is the explicit determination of the minimal polynomial Known algorithms [3], [5] may then be used to get a minimal realization.