Abstract
In this paper a linearization procedure of the fractional-order non-linear time-variant discrete system is discussed. Starting from the non-linear fractional-order difference equation one derives its equivalent state-space form. Then assuming a knowledge of the nominal trajectory one evaluates the linear stat-space model. The investigations are supported by numerical example.
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Acknowledgments
The research was supported by the Polish National Science Center in 2013–2015 as a research project (DEC-2012/05/B/ST 6/03647).
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Ostalczyk, P. (2016). Linearization of the Non-linear Time-Variant Fractional-Order Difference Equation. In: Domek, S., Dworak, P. (eds) Theoretical Developments and Applications of Non-Integer Order Systems. Lecture Notes in Electrical Engineering, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-23039-9_4
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DOI: https://doi.org/10.1007/978-3-319-23039-9_4
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