On Controllability of Fractional Continuous-Time Systems | Zendy

Mina Ghasemi | Zendy; Kameleh Nassiri | Zendy

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On Controllability of Fractional Continuous-Time Systems

Author(s) -

Mina Ghasemi,

Kameleh Nassiri

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5557068

Subject(s) - controllability , fractional calculus , mathematics , fixed point theorem , nonlinear system , point (geometry) , control theory (sociology) , mathematical analysis , computer science , control (management) , geometry , physics , quantum mechanics , artificial intelligence

The aim of this paper is to study the controllability of fractional systems involving the Atangana–Baleanu fractional derivative using the Caputo approach. In the first step, the solution of a linear fractional system is obtained. Then, based on the obtained solution, some necessary and sufficient conditions for the controllability of such a system will be presented. Afterwards, the controllability of a nonlinear fractional system will be analyzed, based on these results. Our tool for the presentation of the sufficient conditions of controllability in this part is Schauder fixed point theorem. In the last step, the analytical results are illustrated by numerical examples.

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