http://hdl.handle.net/20.500.12128/12790
Title: | Asymptotic properties of discrete linear fractional equations |
Authors: | Anh, P. T. Babiarz, Artur Czornik, Adam Niezabitowski, Michał Siegmund, S. |
Keywords: | Linear discrete-time fractional systems; Caputo equation |
Issue Date: | 2019 |
Citation: | "Bulletin of the Polish Academy of Sciences Technical Sciences" 2019, nr 4, s. 749-759 |
Abstract: | In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time Caputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable Caputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo equations. |
URI: | http://hdl.handle.net/20.500.12128/12790 |
DOI: | 10.24425/bpasts.2019.130184 |
ISSN: | 2300-1917 0239-7528 |
Appears in Collections: | Artykuły (WNŚiT) |
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Anh_Asymptotic_properties.pdf | 558,28 kB | Adobe PDF | View/Open |
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