Digraph-Based Algorithm for Finding Minimal Positive Realisation of Two-Dimensional Linear System with Delays

12th European Workshop on Advanced Control and Diagnosis

Markowski, Konrad Andrzej^1

Warsaw University of Technology, Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, Koszykowa 75, Warsaw

00-662, Poland^1

关键词: Computational power;    General model;    Multi dimensional;    Parallel com- puting;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/659/1/012039/pdf
DOI  :  10.1088/1742-6596/659/1/012039

来源: IOP

【 摘 要 】

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.