Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative
Tadeusz Kaczorek, Kamil Borawski (2016)
International Journal of Applied Mathematics and Computer Science
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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.