- Tytuł:
- Minimal positive realizations of linear continuous-time fractional descriptor systems: Two cases of an input-output digraph structure
- Autorzy:
- Markowski, K. A.
- Powiązania:
- https://bibliotekanauki.pl/articles/330387.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
fractional system
positive system
descriptor system
digraph structure
digraph mask
układ ułamkowy
układ dodatni
układ deskryptorowy - Opis:
- In the last two decades, fractional calculus has become a subject of great interest in various areas of physics, biology, economics and other sciences. The idea of such a generalization was mentioned by Leibniz and L'Hospital. Fractional calculus has been found to be a very useful tool for modeling linear systems. In this paper, a method for computation of a set of a minimal positive realization of a given transfer function of linear fractional continuous-time descriptor systems has been presented. The proposed method is based on digraph theory. Also, two cases of a possible input-output digraph structure are investigated and discussed. It should be noted that a digraph mask is introduced and used for the first time to solve a minimal positive realization problem. For the presented method, an algorithm was also constructed. The proposed solution allows minimal digraph construction for any one-dimensional fractional positive system. The proposed method is discussed and illustrated in detail with some numerical examples.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 9-24
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł