Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative

• Autorzy: Tadeusz Kaczorek , Kamil Borawski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional system; descriptor system; continuous-time; linear system; Caputo-Fabrizio derivative

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: 26
• Numer: 3
• Strony: 533-541

Daty

wydano

2016

otrzymano

2015-11-26

poprawiono

2016-02-29

zaakceptowano

2016-05-25

Twórcy

autor

Tadeusz Kaczorek

• Faculty of Electrical Engineering, Białystok Technical University, Wiejska 45D, 15-351 Białystok, Poland

autor

Kamil Borawski

• Faculty of Electrical Engineering, Białystok Technical University, Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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Identyfikatory

DOI

10.1515/amcs-2016-0037