Controllability of switched Hilfer neutral fractional dynamic systems with impulses. (14th May 2022)

• Record Type: Journal Article
• Authors: Kumar, Vipin; Kostić, Marko; Tridane, Abdessamad; Debbouche, Amar
• Is Part Of: IMA journal of mathematical control and information. Volume 39:Number 3(2022)
• Page Start: 807
• Page End: 836
• Publication Date: 2022-05-14
• Subjects: Switched systems -- Controllability -- Mittag-Leffler function -- Fractional differential equations; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnac011
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: The aim of this work is to investigate the controllability of a class of switched Hilfer neutral fractional systems with non-instantaneous impulses in the finite-dimensional spaces. We construct a new class of control function that controls the system at the final time of the time-interval and controls the system at each of the impulsive points i.e. we give the so-called total controllability results. Also, we extend these results to the corresponding integro-system. We mainly use the fixed point theorem, Laplace transformation, Mittag-Leffler function, Gramian type matrices and fractional calculus to establish these results. In the end, we provide a simulated example to verify the obtained analytical results.