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

Autor: Kaczorek Tadeusz, Borawski Kamil
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: International Journal of Applied Mathematics and Computer Science, Vol 26, Iss 3, Pp 533-541 (2016)
Druh dokumentu: article
ISSN: 2083-8492
DOI: 10.1515/amcs-2016-0037
Popis: 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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