Fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative
International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) no. 3, pp. 533-541.

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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.
Keywords: fractional system, descriptor system, continuous time, linear system, Caputo–Fabrizio derivative
Mots-clés : układ niecałkowitego rzędu, układ deskryptorowy, układ ciągły, układ liniowy
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Kaczorek, T.; Borawski, K. Fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) no. 3, pp. 533-541. http://geodesic.mathdoc.fr/item/IJAMCS_2016_26_3_a1/

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