Controllability of higher order stochastic fractional control delay systems involving damping behavior

G. Arthi and K. Suganya

Applied Mathematics and Computation, 2021, vol. 410, issue C

Abstract: This article focuses on the problem of controllability of both cases linear and nonlinear higher order stochastic fractional control delay systems with damping behavior, which involving Caputo fractional derivative (CFD). The proposed approach utilizes the ideas of controllability Grammian matrix involving Mittag-Leffler function (MLF) and Burkholder-Davis-Gundy’s inequality. By employing Banach fixed point theorem, we establish the exact method to design a stochastic perturbation to control the considered nonlinear higher order fractional differential systems. As a final point, the derived design is illustrated with two numerical examples.

Keywords: Controllability; Fractional Damped systems; Stochastic systems; Control delay; Mittag-Leffler function (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005282

DOI: 10.1016/j.amc.2021.126439

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