Minimal positive realizations of linear continuous-time fractional descriptor systems: Two cases of an input-output digraph structure

• Autorzy: Markowski K. A.

Identyfikatory

DOI

10.2478/amcs-2018-0001

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional system; positive system; descriptor system; digraph structure; digraph mask

PL

układ ułamkowy; układ dodatni; układ deskryptorowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2018
• Tom: Vol. 28, no. 1
• Strony: 9--24
• Opis fizyczny: Bibliogr. 48 poz., rys.

Twórcy

autor

Markowski K. A.

• Institute of Control and Industrial Electronics, Faculty of Electrical Engineering, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).