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Obiekt
Tytuł: Minimal positive realizations of linear continuous-time fractional descriptor systems: Two cases of an input-output digraph structure
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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.
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Zielona Góra: Uniwersytet Zielonogórski
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AMCS, volume 28, number 1 (2018) ; kliknij tutaj, żeby przejść
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Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2018)
Data ostatniej modyfikacji:
14 lip 2025
Data dodania obiektu:
7 lip 2025
Liczba wyświetleń treści obiektu:
42
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/100729
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 1 (2018)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 2 (2018)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 3 (2018)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 4 (2018)
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Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
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