Browsing by Author "Arthi, G"

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ANT COLONY OPTIMIZATION FOR COMPETENCY BASED LEARNING OBJECTS SEQUENCING IN E-LEARNING
(Elsevier, 2015-07) Priya Dharshini, A; Chandrakumarmangalam, S; Arthi, G
E-learning is a knowledge management concept where content creators have to arrange a set of learning resources, to present them in a clear and comprehensive way to the learners. In this paper, we formulate a new approach for obtaining better learning paths for different learners groups as a constraint satisfaction problem (CSP) in which meta-data and competencies are used to define the relationships between the learning objects (LOs), where the course materials are used to formulate LOs sequence. The main aim of this paper is to obtain a dynamic learning path for the considered CSP problem by using the swarm intelligence technique, which is a sub-set of the artificial intelligence technique. Further, the proposed model is tested in a simulated environment, which gives an optimized LO sequencing. The simulation results reveal that the artificial ants gives solution to the proposed problem in an optimized way. More precisely, suitable learning path can be obtained by applying ant colony optimization (ACO) technique. From the obtained results it is concluded that the proposed model supports the e-learning portal administrator in getting benefits in terms of less processing time and minimal sequencing cost.
APPROXIMATE CONTROLLABILITY OF NONLINEAR FRACTIONAL STOCHASTIC SYSTEMS INVOLVING IMPULSIVE EFFECTS AND STATE DEPENDENT DELAY
(Universal Wiser Publisher, 2023-06-17) Arthi, G; Suriyapriya, N
This paper studies the analysis of approximate controllability for the fractional order neutral stochastic impulsive integro-differential systems involving nonlocal condition and State Dependent Delay (SDD). Sufficient conditions are designed to illustrate the evaluation of approximate controllability. It is exhibited that the proposed protocol can explicitly drive the results by Krasnoselskii's fixed point technique and semigroup theory. As a final point, the derived scheme is validated through an example.
CONTROLLABILITY ANALYSIS OF IMPULSIVE MULTI-TERM FRACTIONAL-ORDER STOCHASTIC SYSTEMS INVOLVING STATE-DEPENDENT DELAY
(MDPI, 2023-09-30) Arthi, G; Vaanmathi, M; Yong-Ki, Ma
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.
CONTROLLABILITY OF FRACTIONAL ORDER DAMPED DYNAMICAL SYSTEMS WITH DISTRIBUTED DELAYS
(Elsevier, 2019-11) Arthi, G; Suganya, K; Ju H, Park
This paper deals with the controllability criteria for fractional-order damped dynamical systems with distributed delays using Caputo derivatives for both linear and nonlinear cases. Controllability results are established by utilizing the Mittag-Leffler function (MLF) and Schauder’s fixed point theorem. Finally, two numerical examples are provided to show applicability of the proposed results.
CONTROLLABILITY OF HIGHER ORDER STOCHASTIC FRACTIONAL CONTROL DELAY SYSTEMS INVOLVING DAMPING BEHAVIOR
(Elsevier, 2021-12-01) Arthi, G; Suganya, K
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.
CONTROLLABILITY OF HIGHER-ORDER FRACTIONAL DAMPED STOCHASTIC SYSTEMS WITH DISTRIBUTED DELAY
(Springer Open, 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.
CONTROLLABILITY OF IMPULSIVE SECOND-ORDER NONLINEAR SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES
(Taylor & Francis Online, 2015-06-08) Arthi, G; Balachandran, K
In this paper, we are concerned with the controllability of damped second-order integrodifferential systems with impulses. Further the result is extended to study the controllability of nonlinear neutral systems with nonlocal conditions. The fixed point analysis approach is adopted in investigation. Sufficient conditions are formulated with a noncompact condition on the cosine family of operators. The results are obtained using the Banach fixed point theorem. An example is presented to illustrate the results.
CONTROLLABILITY OF NON-LINEAR FRACTIONAL-ORDER SYSTEMS WITH DAMPING BEHAVIOUR AND MULTIPLE DELAYS
(Oxford Academic, 2021-05-11) Arthi, G; Suganya, K
A controllability analysis of both linear and non-linear fractional-order systems with damping behaviour and multiple delays is studied. We derived the controllability result for damped system with multi-term fractional order and multiple delays by introducing some lemmas with the help of Laplace transform properties and Mittag–Leffler function. Further, some new sufficient conditions ensuring controllability for a class of non-linear multi-term fractional-order damped systems with multiple delays are established by utilizing fractional Caputo derivatives and Schauder’s fixed point theorem. Moreover, as applications that demonstrate the proposed results, two examples are presented.
CONTROLLABILITY OF STOCHASTIC FRACTIONAL SYSTEMS INVOLVING STATE-DEPENDENT DELAY AND IMPULSIVE EFFECTS
(Springer Science and Business Media, 2024) Arthi, G; Vaanmathi, M; Yong-Ki, Ma
In this paper, the controllability concept of a nonlinear fractional stochastic system involving state-dependent delay and impulsive effects is addressed by employing Caputo derivatives and Mittag-Leffler (ML) functions. Based on stochastic analysis theory, novel sufficient conditions are derived for the considered nonlinear system by utilizing Krasnoselkii’s fixed point theorem. Correspondingly, the applicability of the derived theoretical results is indicated by an example
EXISTENCE AND CONTROLLABILITY FOR IMPULSIVE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS WITH STATE-DEPENDENT DELAY
(Journal of Applied Analysis and Computation, 2023) Arthi, G; Sivasangari, R; Yong-Ki, Ma
This paper is concerned with the impulsive fractional stochastic neutral evolution systems with state-dependent delay and nonlocal condition. First, the existence of solutions of considered evolution systems are obtained by applying the Banach contraction theorem. Then, on the basis of existence of solutions, the controllability concept of the system is investigated. The main aim is to derive some conditions that could be applied to analyze the controllability results for the considered evolution systems involving state-dependent delay. Finally, the efficiency of theoretical analysis is verified by an example.
EXISTENCE AND EXPONENTIAL STABILITY FOR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS WITH IMPULSES DRIVEN BY A FRACTIONAL BROWNIAN MOTION
(Elsevier, 2016-03) Arthi, G; Ju H, Park; H Y, Jung
In this paper, we establish the results on existence and uniqueness of mild solution of impulsive neutral stochastic integrodifferential equations driven by a fractional Brownian motion. Further, by using an impulsive integral inequality, some novel sufficient conditions are derived to ensure the exponential stability of mild solution in the mean square moment. The results are obtained by utilizing the fractional power of operators and the semigroup theory. Finally, an example is presented to demonstrate the effectiveness of the proposed result.
EXPONENTIAL STABILITY BEHAVIOR OF NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION AND IMPULSIVE EFFECTS
(SpringerOpen, 2018-03-27) Yong-Ki, Ma; Arthi, G; Marshal Anthoni, S
In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential equations driven by a fractional Brownian motion. We establish some new sufficient conditions that ensure the exponential stability of mild solution in the mean square moment by utilizing an impulsive integral inequality. Also, we provide an example to show the efficiency of the obtained theoretical result.
FINITE-TIME STABILITY OF MULTITERM FRACTIONAL NONLINEAR SYSTEMS WITH MULTISTATE TIME DELAY
(Springer Link, 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.
NON-FRAGILE OBSERVER-BASED PASSIVE CONTROL FOR DISCRETE-TIME SYSTEMS WITH REPEATED SCALAR NON-LINEARITIES
(Oxford Academic, 2016-09) Arthi, G; Tae H, Lee; Ju H, Park; Jung, H Y
In this paper, the non-fragile observer-based passive control problem is discussed for a class of systems with repeated scalar non-linearities and time-varying delays. The non-linear system is defined by a discrete-time state equation containing a repeated scalar non-linearity. The system under consideration is modelled by assuming the random imperfect communication links existing between the controller and observer. The random fluctuations are defined by utilizing the Bernoulli distributed white sequences. The non-fragile observer-based feedback controller gains are designed to guarantee that the considered closed-loop control system with repeated scalar non-linearities and time-varying delays is passive. Sufficient conditions are derived for the existence of controller and observer gains by using the Lyapunov stability theory, passivity theory and linear matrix inequalities. As a final point, a numerical example by using a marketing-production system is presented to demonstrate the effectiveness of the proposed theoretical results.
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.
ROBUST H∞ FILTER DESIGN FOR DISCRETE TIME SWITCHED INTERCONNECTED SYSTEMS WITH TIME-VARYING DELAYS
(Elsevier Ltd, 2024-07-30) Arthi, G; Antonyronika, M; Yong-Ki, Ma
The filter design of H∞ for an interconnecting system (IS) with uncertain discrete time switching is examined. Discrete-time N-linear subsystems with coupling states that have time delays, external disturbances and uncertainty are taken into account. Utilising Lyapunov-Krasovskii functional (LKF) and the Linear-Matrix-Inequality (LMI) approach, an appropriate filter is designed for the considered interconnected system. To remove an outside disruption, H∞ performances (HP) are implemented. Sufficient criteria are developed to assure the Exponentially Mean-Square Stability (EMSS). Then, using MATLAB-LMI toolbox filter parameters were established. Finally, the efficiency of the designed filter is illustrated with mathematical instances.
ROBUST H∞�∞ FILTER DESIGN FOR DISCRETE TIME SWITCHED INTERCONNECTED SYSTEMS WITH TIME-VARYING DELAYS
(Elsevier Ltd., 2024-07) Arthi, G; Antonyronika, M; Yong-Ki, Ma
The filter design of H∞ for an interconnecting system (IS) with uncertain discrete time switching is examined. Discrete-time N-linear subsystems with coupling states that have time delays, external disturbances and uncertainty are taken into account. Utilising Lyapunov-Krasovskii functional (LKF) and the Linear-Matrix-Inequality (LMI) approach, an appropriate filter is designed for the considered interconnected system. To remove an outside disruption, H∞ performances (HP) are implemented. Sufficient criteria are developed to assure the Exponentially Mean-Square Stability (EMSS). Then, using MATLAB-LMI toolbox filter parameters were established. Finally, the efficiency of the designed filter is illustrated with mathematical instances.
STABILITY ANALYSIS OF SINGLE NEURON SYSTEM WITH LEVY NOISE
(International Journal of Scientific and Technology Research, 2020) Arthi, G
This article addresses the asymptotic stability of single neuron system with neutral delay and Levy noise. Sufficient conditions are derived to ensure that the considered system with Levy noise is asymptotic stable by means of the linear matrix inequality (LMI) approach together with a Lyapunov-Krasovskii functional and stochastic analysis theory. This work provides two examples of application of stability analysis in numerical formulation about the impact of Levy noise on neutral type single neuron model.