@ARTICLE{Oprzędkiewicz_Krzysztof_The_2018, author={Oprzędkiewicz, Krzysztof and Gawin, Edyta}, volume={vol. 28}, number={No 3}, journal={Archives of Control Sciences}, pages={463–482}, howpublished={online}, year={2018}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={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.}, type={Artykuły / Articles}, title={The practical stability of the discrete, fractional order, state space model of the heat transfer process}, URL={http://www.czasopisma.pan.pl/Content/108831/ACS-2018-3-7.pdf}, doi={10.24425/acs.2018.124712}, keywords={discrete non-integer order system, heat transfer, diffusion equation, Grünvald-Letnikov operator, practical stability}, }