Fractional descriptor continuous–time linear systems described by the Caputo–Fabrizio derivative
Tadeusz Kaczorek, Kamil Borawski
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Source: Crossref
Published: Sep 1, 2016
DOI: 10.1515/amcs-2016-0037
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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.
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