Stability and controllability analysis of fractional damped differential system with non-instantaneous impulses

Vipin Kumar, Muslim Malik and Amar Debbouche

Applied Mathematics and Computation, 2021, vol. 391, issue C

Abstract: In this paper, we prove the existence, stability and controllability results for fractional damped differential system with non-instantaneous impulses. The results are obtained by using Banach fixed-point theorem, nonlinear functional analysis, Mittag-Leffler matrix function and controllability Grammian matrix. At last, some numerical examples are given to illustrate the obtained theory.

Keywords: Fractional dynamical equation; Non-instantaneous impulses; Stability analysis; Controllability; Mittag-Leffler function (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320305877

DOI: 10.1016/j.amc.2020.125633

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