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

• Autorzy: Kaczorek T. , Borawski K.

Identyfikatory

DOI

10.1515/amcs-2016-0037

• 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

PL

układ niecałkowitego rzędu; układ deskryptorowy; układ ciągły; układ liniowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 3
• Strony: 533--541
• Opis fizyczny: Bibliogr. 29 poz., wykr.

Twórcy

autor

Kaczorek T.

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

autor

Borawski K.

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

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.