Realization of the Descriptor Continuous-Time Fractional System Consist of Strictly Proper Part and Polynomial Part

Abstract

In this paper, method for computation of a realization of a given proper transfer function of descriptor fractional continuous-time one-dimensional linear systems has been presented. For the proposed method, an algorithm a based on digraphs theory was constructed. The proposed solution allows determine sets of realizations as a (E, A, B}, C) matrices pairs. Method was discussed and illustrated with numerical examples.