@ARTICLE{Kaczorek_Tadeusz_A_2022, author={Kaczorek, Tadeusz}, volume={70}, number={2}, journal={Bulletin of the Polish Academy of Sciences Technical Sciences}, pages={e139960}, howpublished={online}, year={2022}, abstract={The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The new theorems are applied to different orders fractional linear electrical circuits. The applications of new theorems are illustrated by numerical examples.}, type={Article}, title={A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems}, URL={http://journals.pan.pl/Content/121954/PDF-MASTER/BPASTS_2022_70_2_2147.pdf}, doi={10.24425/bpasts.2021.139960}, keywords={Cayley-Hamilton theorem, electrical circuit, extension, fractional, different order}, }