Realization algorithm for determining generalized state-space representations

A realization algorithm is presented that determines a generalized state-space representation from a so-called column-pseudoproper right MFD. This algorithm is a generalization of the realization algorithm given by Wolovich and is proved to be controllable in the Rosenbrock sense. Moreover, the dimension of the realization is equal to the determinantal degree of the given right MFD in a generalized sense.