Geodesic
A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process
International Journal of Applied Mathematics and Computer Science, Tome 28 (2018) no. 4, pp. 649-659.

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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.
Keywords: noninteger order system, heat transfer equation, infinite dimensional system, continuous fraction expansion
Mots-clés : układ niecałkowitego rzędu, wymiana ciepła, układ nieskończenie wymiarowy 
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Oprzędkiewicz, K.; Mitkowski, W. A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process. International Journal of Applied Mathematics and Computer Science, Tome 28 (2018) no. 4, pp. 649-659. http://geodesic.mathdoc.fr/item/IJAMCS_2018_28_4_a3/

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