- Tytuł:
- Positivity and stabilization of fractional 2D linear systems described by the Roesser model
- Autorzy:
-
Kaczorek, T.
Rogowski, K. - Powiązania:
- https://bibliotekanauki.pl/articles/907776.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
dodatniość
stabilizacja
system ułamkowy
model Roessera
system 2D
positivity
stabilization
fractional systems
Roesser model
2D systems - Opis:
- A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2010, 20, 1; 85-92
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł