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Positive electrical circuits with the chain structure and cyclic Metzler state matrices

Tadeusz Kaczorek
Bulletin of the Polish Academy of Sciences Technical Sciences | 2021 | 69 | 4 | e137731 | DOI: 10.24425/bpasts.2021.137731
Keywords cyclic matrix positive electrical circuit fractional Metzler matrix
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Abstract

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.
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Authors and Affiliations

Tadeusz Kaczorek
1
ORCID: ORCID
  1. Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, Poland

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