A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems

Authors

  • Tadeusz Kaczorek Faculty of Electrical Engineering, Bialystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland

DOI:

https://doi.org/10.24425/bpasts.2021.139960

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.

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Published

2022-02-28

How to Cite

Kaczorek, Tadeusz. “A New Extension of the Cayley-Hamilton Theorem to Fractional Different Orders Linear Systems”. Bulletin of the Polish Academy of Sciences Technical Sciences, vol. 70, no. 2, Feb. 2022, p. e139960 , doi:10.24425/bpasts.2021.139960.

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