On Controllability of Fractional Continuous-Time Systems. (24th May 2021)

• Record Type: Journal Article
• Authors: Ghasemi, Mina; Nassiri, Kameleh
• Other Names: Neagu Adrian Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-05-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/5557068
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.