Positive Stable Realisation of Fractional Electrical Circuits Consisting of n Subsystem

This paper presents a method of the determination of a positive stable realisation of the fractional continuous-time positive system consisting of n subsystems with one fractional order and with different fractional orders. For the proposed method, a digraph-based algorithm was constructed. In this paper, we have shown how we can realise 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.