Positive electrical circuits with the chain structure and cyclic Metzler state matrices
The cyclicity of the state matrices of positive linear electrical circuits with the chain structure is considered. Two classes of positive linear electrical circuits with the chain structure and cyclic Metzler state matrices are analyzed. Some new properties of these classes of positive electrical c...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-06-01
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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/119994/PDF/16_02223_Bpast.No.69(4)_27.08.21_druk.pdf |
| _version_ | 1818503480725209088 |
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| author | Tadeusz Kaczorek |
| author_facet | Tadeusz Kaczorek |
| author_sort | Tadeusz Kaczorek |
| collection | DOAJ |
| description | The cyclicity of the state matrices of positive linear electrical circuits with the chain structure is considered. Two classes of positive linear electrical circuits with the chain structure and cyclic Metzler state matrices are analyzed. Some new properties of these classes of positive electrical circuits are established. The results are extended to fractional linear electrical circuits. |
| first_indexed | 2024-12-10T21:24:33Z |
| format | Article |
| id | doaj.art-1171c8deeb4141ebb73c526d05106704 |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-12-10T21:24:33Z |
| publishDate | 2021-06-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-1171c8deeb4141ebb73c526d051067042022-12-22T01:33:01ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172021-06-01694https://doi.org/10.24425/bpasts.2021.137731Positive electrical circuits with the chain structure and cyclic Metzler state matricesTadeusz Kaczorek0https://orcid.org/0000-0002-1270-3948Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, PolandThe cyclicity of the state matrices of positive linear electrical circuits with the chain structure is considered. Two classes of positive linear electrical circuits with the chain structure and cyclic Metzler state matrices are analyzed. Some new properties of these classes of positive electrical circuits are established. The results are extended to fractional linear electrical circuits.https://journals.pan.pl/Content/119994/PDF/16_02223_Bpast.No.69(4)_27.08.21_druk.pdfcyclic matrixpositiveelectrical circuitfractionalmetzler matrix |
| spellingShingle | Tadeusz Kaczorek Positive electrical circuits with the chain structure and cyclic Metzler state matrices Bulletin of the Polish Academy of Sciences: Technical Sciences cyclic matrix positive electrical circuit fractional metzler matrix |
| title | Positive electrical circuits with the chain structure and cyclic Metzler state matrices |
| title_full | Positive electrical circuits with the chain structure and cyclic Metzler state matrices |
| title_fullStr | Positive electrical circuits with the chain structure and cyclic Metzler state matrices |
| title_full_unstemmed | Positive electrical circuits with the chain structure and cyclic Metzler state matrices |
| title_short | Positive electrical circuits with the chain structure and cyclic Metzler state matrices |
| title_sort | positive electrical circuits with the chain structure and cyclic metzler state matrices |
| topic | cyclic matrix positive electrical circuit fractional metzler matrix |
| url | https://journals.pan.pl/Content/119994/PDF/16_02223_Bpast.No.69(4)_27.08.21_druk.pdf |
| work_keys_str_mv | AT tadeuszkaczorek positiveelectricalcircuitswiththechainstructureandcyclicmetzlerstatematrices |