Digraph-Based Algorithm for Finding Minimal Positive Realisation of Two-Dimensional Linear System with Delays
Konrad Andrzej Markowski · Journal of Physics Conference Series · 2015
In this paper, the new method of the positive minimal realisation two-dimensional linear system with delays described by general model using multi-dimensional digraphs theory D ( n ) has been presented. For the proposed method, a digraph-based 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 two-dimensional linear system with delays. The proposed method was discussed and illustrated with some numerical examples.