@ARTICLE{Kaczorek_Tadeusz_Controllability_2022,
 author={Kaczorek, Tadeusz and Klamka, Jerzy and Dzieliński, Andrzej},
 volume={70},
 number={5},
 journal={Bulletin of the Polish Academy of Sciences Technical Sciences},
 pages={e143102},
 howpublished={online},
 year={2022},
 abstract={In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.},
 type={Article},
 title={Controllability of linear convex combination of linear discrete-time fractional systems},
 URL={http://journals.pan.pl/Content/124861/PDF-MASTER/2928_BPASTS_2022_70_5.pdf},
 doi={10.24425/bpasts.2022.143102},
 keywords={fractional order systems, controllability, linear convex combination},
}