Fractional descriptor continuous–time linear systems described by the Caputo–Fabrizio derivative
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Abstract
The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated with a numerical example.
Language: English
Page range: 533 - 541
Submitted on: Nov 26, 2015
Accepted on: May 25, 2016
Published on: Sep 29, 2016
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year
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© 2016 Tadeusz Kaczorek, Kamil Borawski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.