Autor:

Markowski, Konrad Andrzej

Współtwórca:

Aitouche, Abdel - ed.

Tytuł:

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

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, volume 28 (2018)

Temat i słowa kluczowe:

fractional systems ; positive systems ; descriptor systems ; realization ; digraph structure ; digraph mask ; algorithm

Abstract:

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2018

Typ zasobu:

artykuł

DOI:

10.2478/amcs-2018-0001

Strony:

9-24

Źródło:

AMCS, volume 28, number 1 (2018) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego