Creator:

Kaczorek, Tadeusz (1932- ) ; Borawski, Kamil

Contributor:

Korbicz, Józef - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, Volume 26 (2016)

Subject and Keywords:

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

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Type:

artykuł

DOI:

10.1515/amcs-2016-0037

Pages:

533-541

Source:

AMCS, volume 26, number 3 (2016) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego