Fractional descriptor continuous–time linear systems described by the Caputo–Fabrizio derivative
Kaczorek Tadeusz, Borawski Kamil
International Journal of Applied Mathematics and Computer Science · 2016
doi:10.1515/amcs-2016-0037 (opens in a new tab)
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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.
Abstract licence: CC BY-NC-ND
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