The practical stability of the discrete, fractional order, state space model of the heat transfer process

• Autorzy: Oprzędkiewicz K. , Gawin E.

Identyfikatory

DOI

10.24425/acs.2018.124712

• Języki publikacji: EN

Abstrakty

EN

In the paper the practical stability problem for the discrete, non-integer order model of one dimmensional heat transfer process is discussed. The conditions associating the practical stability to sample time and maximal size of finite-dimensional approximation of heat transfer model are proposed. These conditions are formulated with the use of spectrum decoposition property and practical stability conditions for scalar, positive, fractional order systems. Results are illustrated by a numerical example.

Słowa kluczowe

EN

discrete non-integer order system; heat transfer; diffusion equation; Grünvald-Letnikov operator; practical stability

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 3
• Strony: 463--482
• Opis fizyczny: Bibliogr. 26 poz., rys., tab., wzory

Twórcy

autor

Oprzędkiewicz K.

• AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Krakow, Poland

autor

Gawin E.

• High Vocational School in Tarnow, al. A. Mickiewicza 8, 33-100 Tarnow, Poland

Bibliografia

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Uwagi

EN

1. This paper was partially sponsored by AGH project no 11.11.120.815.

PL

2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).