CONTROLLABILITY ANALYSIS OF IMPULSIVE MULTI-TERM FRACTIONAL-ORDER STOCHASTIC SYSTEMS INVOLVING STATE-DEPENDENT DELAY (Article)

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Title:	CONTROLLABILITY ANALYSIS OF IMPULSIVE MULTI-TERM FRACTIONAL-ORDER STOCHASTIC SYSTEMS INVOLVING STATE-DEPENDENT DELAY (Article)
Authors:	Arthi, G Vaanmathi, M Ma, Yong-Ki
Keywords:	controllability fractional system stochastic impulsive system state-dependent delay
Issue Date:	Oct-2023
Publisher:	Multidisciplinary Digital Publishing Institute (MDPI)
Abstract:	This study deals with the controllability of multi-term fractional-order stochastic systems with impulsive effects and state-dependent delay that exhibit damping behavior. Based on fractional calculus theory, the Caputo fractional derivative is utilized to analyze the controllability of fractional-order systems. Mittag–Leffler functions and Laplace transform are used to derive the solution set of the problem. Sufficient conditions for the controllability of nonlinear systems are achieved using fixed-point techniques and stochastic theory. Finally, the results stated in the paper are validated using examples.
URI:	https://doi.org/10.3390/fractalfract7100727
ISSN:	25043110
Appears in Collections:	b) 2023-Scopus Open Access (Pdf)

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