New digraphs-building algorithm for minimal realisations of one-dimensional fractional positive systems with delays

In this paper, the new method of the positive minimal realisation fractional continuous-time one-dimensional linear systems with delay using multi-dimensional digraphs theory D⁽ⁿ⁾ has been presented. For the proposed method, an algorithm was constructed. The algorithm is based on a parallel computing method to gain needed speed and computational power for such a solution. The proposed solution allows minimal digraphs construction for any positive one-dimensional fractional system with delays. The proposed method was discussed and illustrated with numerical examples.