An introduction to the fractional continuous-time linear systems: the 21st century systems

A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitu...

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Bibliographic Details
Published in:IEEE circuits and systems magazine (New York, N.Y. 2001) N.Y. 2001), 2008-01, Vol.8 (3), p.19-26
Main Author: Ortigueira, M.D.
Format: Magazinearticle
Language:English
Subjects:
Chaos
Circuits and systems
Filtering
Fractional calculus
Frequency
Linear systems
Mathematics
Poles and zeros
Resonance
Robust control
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Summary:A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives.
ISSN:1531-636X
1558-0830
DOI:10.1109/MCAS.2008.928419