REACHABILITY OF FRACTIONAL CONTINUOUS-TIME LINEAR SYSTEMS USING THE CAPUTO-FABRIZIO DERIVATIVE

Tadeusz Kaczorek

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.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Politechnika Bialostocka]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
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Pages53-58
Publication size in sheets0.5
Book Claus T., Hermann F, Manitz M., Rose O. (eds.): PROCEEDINGS - 30TH EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2016, 2016, EUROPEAN COUNCIL MODELLING & SIMULATION, ISBN 978-0-9932440-2-5
Keywords in EnglishFractional; continuous-time; linear; system; Caputo-Fabrizio definition; reachability
LanguageEnglish
Score (nominal)0
ScoreMinisterial score = 0.0, 24-07-2019, BookChapterMatConfByConferenceseries
Ministerial score (2013-2016) = 0.0, 24-07-2019, BookChapterMatConfByConferenceseries
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