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Digital
Library of the European Council for Modelling and Simulation |
Title: |
Reachability Of Fractional Continuous-Time
Linear Systems Using The Caputo-Fabrizio Derivative |
Authors: |
Tadeusz
Kaczorek |
Published in: |
(2016).ECMS 2016 Proceedings edited
by: Thorsen Claus, Frank Herrmann, Michael Manitz, Oliver Rose, European Council for Modeling and
Simulation. doi:10.7148/2016 ISBN:
978-0-9932440-2-5 30th
European Conference on Modelling and Simulation, Regensburg Germany, May 31st
– June 3rd, 2016 |
Citation
format: |
Tadeusz
Kaczorek (2016). Reachability
Of Fractional Continuous-Time Linear Systems Using The Caputo-Fabrizio Derivative, ECMS 2016 Proceedings edited by:
Thorsten Claus, Frank Herrmann, Michael Manitz,
Oliver Rose European Council for Modeling and
Simulation. doi:10.7148/2016-0053 |
DOI: |
http://dx.doi.org/10.7148/2016-0053 |
Abstract: |
The
Caputo-Fabrizio definition of the fractional derivative
is applied to analysis of the positivity and reachability
of continuous-time linear systems. Necessary and sufficient conditions for
the reachability of standard and positive
fractional continuous-time linear systems are established. |
Full
text: |