Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative

Tadeusz Kaczorek ; Kamil Borawski

International Journal of Applied Mathematics and Computer Science, Tome 26 (2016), p. 533-541 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286720

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