Finding a set of (A, B, C, D) realizations for single-input multiple-output dynamic system: First approach using digraph-based method for solutions with intersection vertex

This paper presents the first proposition of a method allowing the determination of a set of (A, B, C, D) realizations of the one-dimensional single-input multi-output (SIMO) dynamic system from created digraph. The algorithm presented is the extension of previously published algorithm that finds a complete set of all possible realizations, instead of only a few realizations, as was in case of canonical form methods. The advantages of the proposed method are the possibilities of obtaining a set of state matrices directly from digraph form of the system and using fast parallel computing method. The algorithm is presented in pseudo-code and illustrated with example.