Fractional discrete-continuous model of heat transfer process

• Autorzy: Oprzędkiewicz Krzysztof , Dziedzic Klaudia

Identyfikatory

DOI

10.24425/acs.2021.137419

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

non integer order systems; heat transfer equation; finite difference; Caputo operator; positive systems

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 2
• Strony: 287--306
• Opis fizyczny: Bibliogr. 34 poz., rys., tab., wzory

Twórcy

autor

Oprzędkiewicz Krzysztof

• AGH University of Science and Technology in Krakow, Faculty of Electrical Engineering, Automatics, Computer Science and Robotics, Department of Automatics and Biomedical Engineering, Kraków, Poland

autor

Dziedzic Klaudia

• AGH University of Science and Technology in Krakow, Faculty of Electrical Engineering, Automatics, Computer Science and Robotics, Department of Automatics and Biomedical Engineering, Kraków, Poland

Bibliografia

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Uwagi

1. This paper was sponsored by AGH UST project no 16.16.120.773.

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).