Characteristic Polynomial Realisation of Positive 2D Hybrid Linear Systems

Abstract

In this paper, the new method of the determination of entries of the state matrices of the positive twodimensional hybrid linear systems using multidimensional digraphs theory D(n) has been presented. For the proposed method parallel computing algorithm was constructed. Algorithm is based on GPGPU (General - Purpose Computing on Graphics Processing Units) computing method to gain needed speed and computational power for such solution. Proposed method discussed and illustrated by numerical examples. Proposed solution allows digraphs construction for any positive twodimensional system, regardless of their complexity.