- Tytuł:
- A non integer order, state space model for one dimensional heat transfer proces
- Autorzy:
-
Oprzedkiewicz, K.
Gawin, E. - Powiązania:
- https://bibliotekanauki.pl/articles/229619.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
non-integer order systems
heat transfer process
diffusion equation
infinite dimensional systems - Opis:
- In the paper a new, state space, non integer order model for one dimensional heat transfer process is presented. The model is based on known semigroup model. The derivative with respect to time is described by the non integer order Caputo operator, the spatial derivative is described by integer order operator. The elementary properties of the state operator are proven. The solution of state equation is calculated with the use of Laplace transform. Results of experiments show, that the proposed model is more accurate than analogical integer order model in the sense of square cost function.
- Źródło:
-
Archives of Control Sciences; 2016, 26, 2; 261-275
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł