A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems
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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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2022-03-01
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| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
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| Online Access: | https://journals.pan.pl/Content/121954/PDF/BPASTS_2022_70_2_2147.pdf |
| _version_ | 1798041054609408000 |
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| author | Tadeusz Kaczorek |
| author_facet | Tadeusz Kaczorek |
| author_sort | Tadeusz Kaczorek |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T22:16:10Z |
| format | Article |
| id | doaj.art-2f447c468a324e49b7750426d14d2cdd |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-04-11T22:16:10Z |
| publishDate | 2022-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-2f447c468a324e49b7750426d14d2cdd2022-12-22T04:00:23ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172022-03-01702https://doi.org/10.24425/bpasts.2021.139960A new extension of the Cayley-Hamilton theorem to fractional different orders linear systemsTadeusz Kaczorek0https://orcid.org/0000-0002-1270-3948Faculty of Electrical Engineering, Bialystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, PolandThe 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.https://journals.pan.pl/Content/121954/PDF/BPASTS_2022_70_2_2147.pdfcayley-hamilton theoremelectrical circuitextensionfractionaldifferent order |
| spellingShingle | Tadeusz Kaczorek A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems Bulletin of the Polish Academy of Sciences: Technical Sciences cayley-hamilton theorem electrical circuit extension fractional different order |
| title | A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems |
| title_full | A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems |
| title_fullStr | A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems |
| title_full_unstemmed | A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems |
| title_short | A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems |
| title_sort | new extension of the cayley hamilton theorem to fractional different orders linear systems |
| topic | cayley-hamilton theorem electrical circuit extension fractional different order |
| url | https://journals.pan.pl/Content/121954/PDF/BPASTS_2022_70_2_2147.pdf |
| work_keys_str_mv | AT tadeuszkaczorek anewextensionofthecayleyhamiltontheoremtofractionaldifferentorderslinearsystems AT tadeuszkaczorek newextensionofthecayleyhamiltontheoremtofractionaldifferentorderslinearsystems |