- Tytuł:
- Singular Fractional Continuous-Time and Discrete-Time Linear Systems
- Autorzy:
- Kaczorek, T.
- Powiązania:
- https://bibliotekanauki.pl/articles/386937.pdf
- Data publikacji:
- 2013
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
ułamkowy
pojedynczy
układ liniowy
pęk regularny
rozwiązanie
superkondensator
fractional
singular
linear circuit
regular pencil
solution
supercondensator
supercoil - Opis:
- New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional systems if it contains at least one mesh consisting of branches with only ideal supercondensators and voltage sources or at least one node with branches with supercoils. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional discrete-time linear systems is derived. The considerations are illustrated by numerical examples.
- Źródło:
-
Acta Mechanica et Automatica; 2013, 7, 1; 26-33
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł