Autor:

Kaczorek, Tadeusz (1932- )

Współtwórca:

Puig, Vicenç - ed. ; Sauter, Dominique - ed. ; Aubrun, Christophe - ed. ; Schulte, Horst - ed.

Tytuł:

Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, volume 28 (2018)

Temat i słowa kluczowe:

conformable fractional derivative ; positive linear systems ; stability

Abstract:

Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2018

Typ zasobu:

artykuł

DOI:

10.2478/amcs-2018-0024

Strony:

335-340

Źródło:

AMCS, volume 28, number 2 (2018) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego