- Tytuł:
- A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process
- Autorzy:
-
Oprzędkiewicz, K.
Mitkowski, W. - Powiązania:
- https://bibliotekanauki.pl/articles/331055.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
noninteger order system
heat transfer equation
infinite dimensional system
continuous fraction expansion
układ niecałkowitego rzędu
wymiana ciepła
układ nieskończenie wymiarowy - Opis:
- A new, state space, discrete-time, and memory-efficient model of a one-dimensional heat transfer process is proposed. The model is derived directly from a time-continuous, state-space semigroup one. Its discrete version is obtained via a continuous fraction expansion method applied to the solution of the state equation. Fundamental properties of the proposed model, such as decomposition, stability, accuracy and convergence, are also discussed. Results of experiments show that the model yields good accuracy in the sense of the mean square error, and its size is significantly smaller than that of the model employing the well-known power series expansion approximation.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 649-659
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki