b) 2023-Scopus Open Access (Pdf)

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Author: search.filters.author.Ma, Yong-Ki

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    CONTROLLABILITY ANALYSIS OF IMPULSIVE MULTI-TERM FRACTIONAL-ORDER STOCHASTIC SYSTEMS INVOLVING STATE-DEPENDENT DELAY (Article)
    (Multidisciplinary Digital Publishing Institute (MDPI), 2023-10) Arthi, G; Vaanmathi, M; Ma, Yong-Ki
    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.
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    EXPONENTIAL STABILITY FOR SECOND-ORDER NEUTRAL STOCHASTIC SYSTEMS INVOLVING IMPULSES AND STATE-DEPENDENT DELAY (Article)
    (Multidisciplinary Digital Publishing Institute (MDPI), 2023-12) Ganesan, Arthi; Thangaraj, Manju; Ma, Yong-Ki
    Exponential stability criteria for neutral second-order stochastic systems involving impulses and state-dependent delay have been addressed in this paper based on stability theory, stochastic analysis, and the inequality technique. Some sufficient conditions are given to establish the exponential stability of such systems, which is well-established in the deterministic case, but less known for the stochastic case. In our model, the noise effect can be described as a symmetric Wiener process. By formulating the impulsive integral technique, exponential stability analysis of the pth moment of the second-order system involving stochastic perturbation is established. As an application that illustrates the theoretical formulation, an example is presented.