d) 2021-Scopus Open Access (PDF)

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    CONTROLLABILITY OF HIGHER-ORDER FRACTIONAL DAMPED STOCHASTIC SYSTEMS WITH DISTRIBUTED DELAY (Article)
    (Springer Open, 2021) Arthi, G; Suganya, K; Yong-Ki, Ma
    In this paper, the controllability analysis is proposed for both linear and nonlinear higher-order fractional damped stochastic dynamical systems with distributed delay in Hilbert spaces which involve fractional Caputo derivative of different orders. Based on the properties of fractional calculus, the fixed point technique, and the construction of controllability Gramian matrix, we establish the controllability results for the considered systems. Finally, examples are constructed to illustrate the applicability of obtained results.
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    FINITE-TIME STABILITY OF MULTITERM FRACTIONAL NONLINEAR SYSTEMS WITH MULTISTATE TIME DELAY
    (Springer Open, 2021-02-06) Arthi, G; Brindha, N; Yong-Ki, Ma
    This work is mainly concentrated on finite-time stability of multiterm fractional system for with multistate time delay. Considering the Caputo derivative and generalized Gronwall inequality, we formulate the novel sufficient conditions such that the multiterm nonlinear fractional system is finite time stable. Further, we extend the result of stability in the finite range of time to the multiterm fractional integro-differential system with multistate time delay for the same order by obtaining some inequality using the Gronwall approach. Finally, from the examples, the advantage of presented scheme can guarantee the stability in the finite range of time of considered systems.
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    ON FINITE-TIME STABILITY OF NONLINEAR FRACTIONAL-ORDER SYSTEMS WITH IMPULSES AND MULTI-STATE TIME DELAYS
    (Elsevier, 2021-04) Arthi, G; Brindha, N
    This work concentrates on the finite-time stability (FTS) analysis of fractional-order systems (FOS) with impulsive effects and multi-state time delays. The condition which give assurance for FTS of nonlinear FOS having impulsive behavior and multi-state time delay are derived by utilizing the generalization of Gronwall’s inequality (GI). At last, two numerical examples are given which provide the accuracy of the given result.
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    CONTROLLABILITY OF HIGHER-ORDER FRACTIONAL DAMPED STOCHASTIC SYSTEMS WITH DISTRIBUTED DELAY
    (Springer Link, 2021-10-28) Arthi, G; Suganya, K; Yong-Ki, Ma
    In this paper, the controllability analysis is proposed for both linear and nonlinear higher-order fractional damped stochastic dynamical systems with distributed delay in Hilbert spaces which involve fractional Caputo derivative of different orders. Based on the properties of fractional calculus, the fixed point technique, and the construction of controllability Gramian matrix, we establish the controllability results for the considered systems. Finally, examples are constructed to illustrate the applicability of obtained results.