Temat: order continuous - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A new algorithm for a CFE-approximated solution of a discrete-time noninteger-order state equation
Autorzy:: Oprzędkiewicz, K.
Stanisławski, R.
Gawin, E.
Mitkowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/199796.pdf
Data publikacji:: 2017
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order calculus
discrete-time noninteger-order state equation
continuous fraction expansion
Al-Alaoui operator
równanie dyskretne
aproksymacja Al-Alaoui
CFE
Opis:: In the paper, a new method for solution of linear discrete-time fractional-order state equation is presented. The proposed method is simpler than other methods using directly discrete-time version of the Grünwald-Letnikov operator. The method is dedicated to use with any approximator to the operator expressed by a discrete transfer function, e.g. CFE-based Al-Alaoui approximation. A simulation example confirms the usefulness of the method.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 4; 429-437
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Artykuł

Informacja