Digraphs structures corresponding to realisation of multi-order fractional electrical circuits

Abstract

This paper presents a method of the determination of a minimal stable realisation of the fractional continuous-time linear system with different fractional orders. For the proposed method, a digraph-based algorithm was constructed. In this paper, we have shown how we can perform the transfer matrix using electrical circuits consisting of resistances, inductances, capacitances and source voltages. The proposed method was discussed and illustrated with some numerical examples.