Fractional Descriptor Continuous-Time Linear Systems Described by the Caputo-Fabrizio Derivative

نویسندگان

  • Tadeusz Kaczorek
  • Kamil Borawski
چکیده

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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عنوان ژورنال:
  • Applied Mathematics and Computer Science

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2016