Controllability Results for a Class of Piecewise Nonlinear Impulsive Fractional Dynamic Systems

Vipin Kumar, Gani Stamov and Ivanka Stamova

Applied Mathematics and Computation, 2023, vol. 439, issue C

Abstract: We study the total controllability for a new class of piecewise nonlinear Langevin fractional dynamic equations with non-instantaneous impulses. New necessary and sufficient conditions are presented for the total controllability of the corresponding linear impulsive systems. Also, the nonlinear case is investigated and controllability criteria are established. We transform the controllability problem into the existence of a fixed point task by defining a nonlinear operator and a proper admissible piecewise control function on a Banach space. Fractional calculus, Mittag-Leffler functions, Gramian type matrices, and the Schauder’s fixed point theorem are employed to develop our main results. Finally, we illustrate the analytical outcome by providing a simulated example.

Keywords: Controllability; Fractional Dynamic Systems; Impulses; Piecewise Systems (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300322006981
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006981

DOI: 10.1016/j.amc.2022.127625

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().