http://hdl.handle.net/20.500.12128/12790
Tytuł: | Asymptotic properties of discrete linear fractional equations |
Autor: | Anh, P. T. Babiarz, Artur Czornik, Adam Niezabitowski, Michał Siegmund, S. |
Słowa kluczowe: | Linear discrete-time fractional systems; Caputo equation |
Data wydania: | 2019 |
Źródło: | "Bulletin of the Polish Academy of Sciences Technical Sciences" 2019, nr 4, s. 749-759 |
Abstrakt: | 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 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Anh_Asymptotic_properties.pdf | 558,28 kB | Adobe PDF | Przejrzyj / Otwórz |
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