Abstract
This paper presents a finite dimensional approximation of fractional order linear systems and its connection with transport equation. The main results show, that the linear fractional order system can be approximated by a finite number of linear differential equations. Appropriate error estimate in C 0 norm is presented. Next, the solution of fractional order linear system is presented as a linear functional of the solution of transport equation. This result establishes a connection between the semi groups theory and fractional system theory. Considerations are illustrated with simple example of fractional oscillator.
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Bania, P., Baranowski, J. (2013). Laguerre Polynomial Approximation of Fractional Order Linear Systems. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_15
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DOI: https://doi.org/10.1007/978-3-319-00933-9_15
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00932-2
Online ISBN: 978-3-319-00933-9
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