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Jesteś gościem nr:
532521
   

Szczegóły artykułu:

Wydawnictwo: Academic Journals Poznan University of Technology

Numer: 97/2019 Str: 155


Autorzy: Ewa Piotrowska


Tytuł: ANALYSIS OF FRACTIONAL ELECTRICAL CIRCUIT WITH SINUSOIDAL INPUT SIGNAL USING CAPUTO AND CONFORMABLE DERIVATIVE DEFINITIONS


Streszczenie: Abstract. This paper presents the fractional electrical circuit in the transient state described by the fractional-order state-space equations. General solutions to the fractional state-space equations containing two types of definitions of fractional derivative: Caputo definition and the conformable fractional derivative definition are given the solutions in the case of: 1) control in the form of sine function at zero initial states 2) control in the form of cosine function at zero initial states 3) control in the form of the sine function with phase shift at zero initial states. The solutions are shown for capacitor voltages for fractional derivative orders of 0.7; 0.8; 1.0. The results were compared using graphs.


Słowa kluczowe: fractional order system, Sinusoidal Signals, Caputo definition, conformable fractional derivative de


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