Digraph-building method for finding a set of minimal realizations of 2-D dynamic systems
K.A. Markowski, Krzysztof Hryniów · Bulletin of the Polish Academy of Sciences Technical Sciences · 2018
This paper presents a digraph-building method designed to find the determination of realization of two-dimensional dynamic system.The main differences between the method proposed and other state-of-the-art solutions used include finding a set of realizations (belonging to a defined class) instead of only one realization, and the fact that obtained realizations have minimal size of state matrices.In the article, the proposed method is described, compared to state-of-the-art methods and illustrated with numerical examples.To the best of authors' knowledge, the method shown in the paper is superior to all other state-of-the-art solutions both in terms of number of solutions and their matrix size.Additionally, MATLAB function for determination of realization based on the set of state matrices is included.