Digraphs Structures with Weights Corresponding to One-Dimensional Fractional Systems

Konrad Markowski


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.

Author Konrad Markowski (FoEE / ICIE)
Konrad Markowski,,
- The Institute of Control and Industrial Electronics
Publication size in sheets0.6
Book Advances in Intelligent Systems and Computing, Advances in Intelligent Systems and Computing, 2020, ISBN 9783030132729, 12 p.
Languageen angielski
Score (nominal)5
Score sourcepublisherList
ScoreMinisterial score = 5.0, 18-09-2020, ChapterFromConference
Publication indicators Scopus Citations = 0
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