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Paper details
Number 3 - September 2016
Volume 26 - 2016
Fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative
Tadeusz Kaczorek, Kamil Borawski
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.
Keywords
fractional system, descriptor system, continuous-time, linear system, Caputo–Fabrizio derivative