Temat: non-integer order systems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Fractional discrete-continuous model of heat transfer process
Autorzy:: Oprzędkiewicz, Krzysztof
Dziedzic, Klaudia
Powiązania:: https://bibliotekanauki.pl/articles/1409413.pdf
Data publikacji:: 2021
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: non integer order systems
heat transfer equation
finite difference
Caputo operator
positive systems
Opis:: The paper proposes a new, state space, finite dimensional, fractional order model of a heat transfer in one dimensional body. The time derivative is described by Caputo operator. The second order central difference describes the derivative along the length. The analytical formulae of the model responses are proved. The stability, convergence, and positivity of the model are also discussed. Theoretical results are verified by experiments.
Źródło:: Archives of Control Sciences; 2021, 31, 2; 287-306
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Non integer order, discrete, state space model of heat transfer process using Grünwald-Letnikov operator
Autorzy:: Oprzędkiewicz, K.
Dziedzic, K.
Więckowski, Ł.
Powiązania:: https://bibliotekanauki.pl/articles/200257.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: non integer order systems
heat transfer
fractional order state equation
fractional order backward difference
Grünwald-Letnikov operator
convergence
Opis:: The paper is intented to show a new, state space, discrete, non integer order model of a one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space model and it uses the discrete Grünwald-Letnikov operator to express the fractional order difference with respect to time. Stability and spectrum decomposition for the proposed model are recalled, the accuracy and convergence are analyzed too. The convergence of the proposed model does not depend on parameters of heater and measuring sensors. The dimension of the model assuring stability and predefined rate of convergence and stability is estimated. Analytical results are confirmed by experiments.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 5; 905-914
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Non integer order, state space model of heat transfer process using Atangana-Baleanu operator
Autorzy:: Oprzędkiewicz, K.
Powiązania:: https://bibliotekanauki.pl/articles/202078.pdf
Data publikacji:: 2020
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: non integer order systems
heat transfer equation
infinite dimensional systems
fractional order state equation
Riesz operator
Caputo operator
Atangana-Baleanu operator
Opis:: In the paper a new, state space, non integer order model of an one-dimensional heat transfer process is proposed. The model uses a new operator with Mittag-Leffler kernel, proposed by Atangana and Beleanu. The non integer order spatial derivative is expressed by Riesz operator. Analytical formula of the step response is given, the convergence of the model is discussed too. Theoretical results are verified by experiments.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 1; 43-50
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

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