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

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1 Author(s)
Manuel Duarte Ortigueira ; UNINOVA and Faculdade de Ciencias e Tecnologia da Universidade Nova de Lisboa, Portugal

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.

Published in:

IEEE Circuits and Systems Magazine  (Volume:8 ,  Issue: 3 )