Digraphs Structures with Weights Corresponding to One-Dimensional Fractional Systems
In this paper, after extensive study and experimentation, the first classification of digraphs structures D corresponding to one-dimensional (1D) fractional continuous-time and discrete-time systems has been presented. It was found that digraph structures created can be divided into three classes K1, K2, K3 with a different feasibility for different polynomials. Additional two cases of possible input-output digraph structure IO1, IO2 was investigated and discussed. It should be noted, that the proposed digraph classes give the opportunity to easily determine the realization of the dynamic system as a set of matrices (A, B, C). The proposed digraphs classification was illustrated with some numerical examples.
|Publication size in sheets||0.6|
|Book||Advances in Intelligent Systems and Computing, Advances in Intelligent Systems and Computing, 2020, ISBN 9783030132729, 12 p.|
|Score||= 5.0, 18-09-2020, ChapterFromConference|
|Publication indicators||= 0|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.