TY - JOUR
N2 - 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.
L1 - http://www.czasopisma.pan.pl/Content/124861/PDF/2928_BPASTS_2022_70_5.pdf
L2 - http://www.czasopisma.pan.pl/Content/124861
PY - 2022
IS - 5
EP - e143102
KW - fractional order systems
KW - controllability
KW - linear convex combination
A1 - Kaczorek, Tadeusz
A1 - Klamka, Jerzy
A1 - DzieliĆski, Andrzej
VL - 70
DA - 26.10.2022
T1 - Controllability of linear convex combination of linear discrete-time fractional systems
SP - e143102
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/124861
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -