Wyszukiwarka
Abstrakt
In this paper, control engineering methods are presented with regard to modelling and simulations of signal propagation in time-fractional (TF) electrodynamics. That is, signal propagation is simulated in electromagnetic media described by Maxwell’s equations with fractional-order constitutive relations in the time domain. We demonstrate that such equations in TF electrodynamics can be considered as a continuous-time system of state-space equations in control engineering. In particular, we derive continuous-time analytical solutions based on state-transition matrices for electromagnetic-wave propagation in the TF media. Then, discrete-time zero-order-hold equivalent models are developed and their analytical solutions are derived. It is demonstrated that the proposed models give the same results as other reference methods presented in the literature. However, due to the application of finite-difference scheme, they remain more flexible in terms of the number of simulation scenarios which can be tackled.
Cytowania
-
0
CrossRef
-
0
Web of Science
-
0
Scopus
Autorzy (4)
-
Damian Trofimowicz mgr inż.
-
Jacek Gulgowski
-
Tomasz Talaśka
Cytuj jako
Pełna treść
pełna treść publikacji nie jest dostępna w portalu
Słowa kluczowe
Informacje szczegółowe
- Kategoria:
- Publikacja w czasopiśmie
- Typ:
- artykuły w czasopismach
- Opublikowano w:
-
Communications in Nonlinear Science and Numerical Simulation
nr 129,
ISSN: 1007-5704 - Język:
- angielski
- Rok wydania:
- 2024
- Opis bibliograficzny:
- Trofimowicz D., Stefański T., Gulgowski J., Talaśka T.: Modelling and simulations in time-fractional electrodynamics based on control engineering methods// Communications in Nonlinear Science and Numerical Simulation -, (2023), s.107720-
- DOI:
- Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cnsns.2023.107720
- Źródła finansowania:
-
- COST_FREE
- Weryfikacja:
- Politechnika Gdańska
wyświetlono 68 razy