| Autor: |
D. Karaoulanis, A.K. Lazopoulos |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Journal of King Saud University: Science, Vol 32, Iss 8, Pp 3301-3306 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1018-3647 |
| DOI: |
10.1016/j.jksus.2020.09.014 |
| Popis: |
*Λ-Fractional Derivative (Λ-FD) is the only non-local Derivative satisfying the demands of Differential Topology. Hence, it is most suitable to investigate the stability of simple SISO and PID control systems. Their behavior is compared in real-time Space in the introduced Λ-Space(Λ-S). According to the definition of Λ-Fractional Derivative and its correspondence to Λ-Space, those Λ-FDs may be viewed as classical Derivatives of transformed new functions and variables in that Space. Firstly the system is analyzed in Λ-S. Afterward, the derived results provide us information about the response of the system in the real Space, by the inverse transformation as proposed from the theory. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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