@ARTICLE{Anh_P.T._Asymptotic_2019,
author={Anh, P.T. and Babiarz, A. and Czornik, A. and Niezabitowski, M. and Siegmund, S.},
volume={67},
number={No. 4},
journal={Bulletin of the Polish Academy of Sciences: Technical Sciences},
pages={749-759},
howpublished={online},
year={2019},
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 and Riemann-Liouvile equations and we also show an explicit formula for the solution of systems of time-invariant Caputo equations.},
type={Artykuły / Articles},
title={Asymptotic properties of discrete linear fractional equations},
URL={http://www.czasopisma.pan.pl/Content/113668/PDF/08_749-760_01073_Bpast.No.67-4_30.08.19_K1_TeX.pdf},
doi={10.24425/bpasts.2019.130184},
keywords={linear discrete-time fractional systems, Caputo equation, Riemann-Liouville equation, Volterra convolution equation, stability},
}