Fractional-order sinusoidal oscillators: Design procedure and practical examples

Sinusoidal oscillators are known to be realized using dynamical systems of second-order or higher. Here we derive the Barhkausen condition for a linear noninteger-order (fractional-order) dynamical system to oscillate. We show that the oscillation condition and oscillation frequency of some famous i...

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Bibliographic Details
Published in:	IEEE transactions on circuits and systems. I, Regular papers Vol. 55; no. 7; pp. 2051 - 2063
Main Authors:	Radwan, A.G., Elwakil, A.S., Soliman, A.M.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.08.2008 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Capacitors Circuit simulation Circuits Computer simulation Design engineering Differential equations Dynamical systems Finite element methods Fractional-order circuits Frequency Inductors Laplace equations Mathematical analysis noninteger order systems Oscillations Oscillators Probes Resistors Tanks
ISSN:	1549-8328, 1558-0806
Online Access:	Get full text
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