- Tytuł:
- Controllability of linear convex combination of linear discrete-time fractional systems
- Autorzy:
-
Kaczorek, Tadeusz
Klamka, Jerzy
Dzieliński, Andrzej - Powiązania:
- https://bibliotekanauki.pl/articles/2173704.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
fractional order systems
controllability
linear convex combination
system ułamkowego rzędu
sterowność
kombinacja wypukła liniowa - Opis:
- In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 5; art. no. e143102
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł