Year : 2026
Mittag-Leffler synchronization of fractional order disturbed chaotic neural networks with varying time-delay using hybrid controller and its application to biometric image encryption
Cite this Research Publication : Reshma Ramaswami, Vinodkumar Arumugam, Sriramakrishnan Pathmanaban, Mittag-Leffler synchronization of fractional order disturbed chaotic neural networks with varying time-delay using hybrid controller and its application to biometric image encryption, Communications in Nonlinear Science and Numerical Simulation, Elsevier BV, 2026, https://doi.org/10.1016/j.cnsns.2025.109350
Publisher : Elsevier BV
Year : 2026
A framework of YOLOv5 integrated privacy-preserving secure image communication using fractional order memristor based Chua’s circuit and fully synchronization with adaptive coupling strength
Cite this Research Publication : P. Babu Dhivakaran, A. Vinodkumar, P. Sriramakrishnan, J. Alzabut, A framework of YOLOv5 integrated privacy-preserving secure image communication using fractional order memristor based Chua’s circuit and fully synchronization with adaptive coupling strength, Mathematics and Computers in Simulation, Elsevier BV, 2026, https://doi.org/10.1016/j.matcom.2025.07.005
Publisher : Elsevier BV
Year : 2026
Bipartite synchronization of fractional-order coupled neural networks with memristor and quantized pinning control under communication delay
Cite this Research Publication : Paulraj Babu Dhivakaran, , Arumugam Vinodkumar, Jehad Alzabut, , , , Bipartite synchronization of fractional-order coupled neural networks with memristor and quantized pinning control under communication delay, Mathematical Modelling and Control, American Institute of Mathematical Sciences (AIMS), 2026, https://doi.org/10.3934/mmc.2026004
Publisher : American Institute of Mathematical Sciences (AIMS)
Year : 2025
Novel insights on distributed delayed flexible impulsive control for mixed delay complex-valued neural networks
Cite this Research Publication : K. P. Lakshmi, T. Senthilkumar, A. Vinodkumar, J. Alzabut, M. Tounsi, Novel insights on distributed delayed flexible impulsive control for mixed delay complex-valued neural networks, Journal of Mathematics and Computer Science, International Scientific Research Publications, 2025, https://doi.org/10.22436/jmcs.041.03.02
Publisher : International Scientific Research Publications
Year : 2025
Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption
Cite this Research Publication : Reshma Ramaswami, Vinodkumar Arumugam, Sriramakrishnan Pathmanaban, Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption, Communications in Nonlinear Science and Numerical Simulation, Elsevier BV, 2025, https://doi.org/10.1016/j.cnsns.2025.108716
Publisher : Elsevier BV
Year : 2024
Exponential stabilization of hybrid event‐triggered singular time‐delay systems
Cite this Research Publication : Reshma Ramaswami, Nivedha Vasu Thoppilkalam, Arumugam Vinodkumar, Jehad Alzabut, Exponential stabilization of hybrid event‐triggered singular time‐delay systems, Mathematical Methods in the Applied Sciences, Wiley, 2024, https://doi.org/10.1002/mma.10190
Publisher : Wiley
Year : 2024
Bipartite Synchronization of Fractional Order Multiple Memristor Coupled Delayed Neural Networks with Event Triggered Pinning Control
Cite this Research Publication : P. Babu Dhivakaran, M. Gowrisankar, A. Vinodkumar, Bipartite Synchronization of Fractional Order Multiple Memristor Coupled Delayed Neural Networks with Event Triggered Pinning Control, Neural Processing Letters, Springer Science and Business Media LLC, 2024, https://doi.org/10.1007/s11063-024-11507-1
Publisher : Springer Science and Business Media LLC
Year : 2023
Some stability results on non-linear singular differential systems with random impulsive moments
Cite this Research Publication : Arumugam Vinodkumar, Sivakumar Harinie, Michal Fečkan, Jehad Alzabut, Some stability results on non-linear singular differential systems with random impulsive moments, An International Journal of Optimization and Control: Theories & Applications (IJOCTA), AccScience Publishing, 2023, https://doi.org/10.11121/ijocta.2023.1327
Publisher : AccScience Publishing
Year : 2023
Results on relative controllability for nonlinear system with multi‐delays in control
Cite this Research Publication : Arumugam Vinodkumar, Senthilkumar Hemalatha, Results on relative controllability for nonlinear system with multi‐delays in control, Mathematical Methods in the Applied Sciences, Wiley, 2023, https://doi.org/10.1002/mma.9746
Publisher : Wiley
Year : 2023
Passivity analysis for Markovian jumping neutral type neural networks with leakage and mode-dependent delay
Cite this Research Publication : Natarajan Mala, Arumugam Vinodkumar, Jehad Alzabut, Passivity analysis for Markovian jumping neutral type neural networks with leakage and mode-dependent delay, AIMS Biophysics, American Institute of Mathematical Sciences (AIMS), 2023, https://doi.org/10.3934/biophy.2023012
Publisher : American Institute of Mathematical Sciences (AIMS)
Year : 2023
Robust stability of uncertain stochastic switched inertial neural networks with time‐varying delay using state‐dependent switching law
Cite this Research Publication : A. Nasira Banu, K. Banupriya, R. Krishnasamy, A. Vinodkumar, Robust stability of uncertain stochastic switched inertial neural networks with time‐varying delay using state‐dependent switching law, Mathematical Methods in the Applied Sciences, Wiley, 2023, https://doi.org/10.1002/mma.9241
Publisher : Wiley
Year : 2023
Global existence and stability results for partial delay integro-differential equations with random impulses
Cite this Research Publication : A. Anguraj, A. Vinodkumar, Global existence and stability results for partial delay integro-differential equations with random impulses, Filomat, National Library of Serbia, 2023, https://doi.org/10.2298/fil2301317a
Publisher : National Library of Serbia
Year : 2023
Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach
Cite this Research Publication : T. Senthilkumar, A. Vinodkumar, "Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach," Mathematical Methods in the Applied Sciences, 2023, 46 (13): 14200-14213.
Publisher : Mathematical Methods in the Applied Sciences
Year : 2023
An exponential stabilization of random impulsive control systems and its application to chaotic systems
Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, Hüseyin Işık, S. Hariharan, Nallappan Gunasekaran. "An exponential stabilization of random impulsive control systems and its application to chaotic systems," Mathematical Methods in the Applied Sciences, 2023, 46 (3): 3237-3254.
Publisher : Mathematical Methods in the Applied Sciences
Year : 2023
Stability results on random impulsive control for uncertain neutral delay differential systems
Cite this Research Publication : T. Senthilkumar, A.Vinodkumar, and M.Gowrisankar, "Stability results on random impulsive control for uncertain neutral delay differential systems," International Journal of Control, 2023, 96 (10): 2425-2437.
Publisher : International Journal of Control
Year : 2022
Bipartite Synchronization of Fractional-Order Memristor-Based Coupled Delayed Neural Networks with Pinning Control
Cite this Research Publication : P. Babu Dhivakaran, A. Vinodkumar, S. Vijay, S. Lakshmanan, J. Alzabut, R. A. El-Nabulsi, W. Anukool, Bipartite Synchronization of Fractional-Order Memristor-Based Coupled Delayed Neural Networks with Pinning Control, Mathematics, MDPI AG, 2022, https://doi.org/10.3390/math10193699
Publisher : MDPI AG
Year : 2022
A Mathematical Analysis on the New Fractal-Fractional Model of Second-Hand Smokers via the Power Law Type Kernel: Numerical Solutions, Equilibrium Points, and Sensitivity Analysis
Cite this Research Publication : S. Rezapour, S. Etemad, M. Sinan, J. Alzabut, A. Vinodkumar, A Mathematical Analysis on the New Fractal-Fractional Model of Second-Hand Smokers via the Power Law Type Kernel: Numerical Solutions, Equilibrium Points, and Sensitivity Analysis, Journal of Function Spaces, Wiley, 2022, https://doi.org/10.1155/2022/3553021
Publisher : Wiley
Year : 2021
Exponential stability of random impulsive pantograph equations
Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, Zhongmin Liu, Xiaodi Li, "Exponential stability of random impulsive pantograph equations". Mathematical Methods in the Applied Sciences, 2021, 44 (8): 6700-6715.
Publisher : Mathematical Methods in the Applied Sciences
Year : 2021
Exponential stabilization of fixed and random time impulsive delay differential system with applications
Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, S. Hariharan, J. Alzabut, "Exponential stabilization of fixed and random time impulsive delay differential system with applications," Mathematical Biosciences and Engineering, 2021, 18 (3): 2384-2400.
Publisher : Mathematical Biosciences and Engineering
Year : 2020
Approximate controllability of random impulsive quasilinear evolution equation
Cite this Research Publication : A. Vinodkumar, C. Loganathan, S. Vijay, Approximate controllability of random impulsive quasilinear evolution equation, Filomat, National Library of Serbia, 2020, https://doi.org/10.2298/fil2005611v
Publisher : National Library of Serbia
Year : 2020
Approximate Controllability Results for Integro-Quasilinear Evolution Equations Via Trajectory Reachable Sets
Cite this Research Publication : A. Vinodkumart, C. Loganathan, S. Vijay, Approximate Controllability Results for Integro-Quasilinear Evolution Equations Via Trajectory Reachable Sets, Acta Mathematica Scientia, Springer Science and Business Media LLC, 2020, https://doi.org/10.1007/s10473-020-0208-4
Publisher : Springer Science and Business Media LLC
Year : 2020
Stabilization on input time-varying delay for linear switched systems with truncated predictor control
Cite this Research Publication : K. Aruna Sakthi, , A. Vinodkumar, Stabilization on input time-varying delay for linear switched systems with truncated predictor control, Numerical Algebra, Control & Optimization, American Institute of Mathematical Sciences (AIMS), 2020, https://doi.org/10.3934/naco.2019050
Publisher : American Institute of Mathematical Sciences (AIMS)
Year : 2019
Impulsive observer‐based output control for PMSG‐based Wind Energy Conversion System
Cite this Research Publication : Arumugam Vinodkumar, Mani Prakash, Young Hoon Joo, Impulsive observer‐based output control for PMSG‐based Wind Energy Conversion System, IET Control Theory & Applications, Institution of Engineering and Technology (IET), 2019, https://doi.org/10.1049/iet-cta.2018.6045
Publisher : Institution of Engineering and Technology (IET)
Year : 2019
Trajectory reachability and approximate controllability results for neutral functional semilinear control systems with random impulsive moments
Cite this Research Publication : Loganathan, C.; Agarwal, R. P.; Vijay, S., Trajectory reachability and approximate controllability results for neutral functional semilinear control systems with random impulsive moments, Nonlinear Studies, 2019, 26 (1), 43-55
Publisher : Nonlinear Studies
Year : 2019
LMI conditions for delay probability distribution dependent robust stability analysis of markovian jump stochastic neural networks with time-varying delays
Cite this Research Publication : N. Mala, A.R. Sudamani Ramaswamy, A. Vinodkumar, LMI conditions for delay probability distribution dependent robust stability analysis of markovian jump stochastic neural networks with time-varying delays, Malaya Journal of Matematik, MKD Publishing House, 2019, https://doi.org/10.26637/mjm0702/0031
Publisher : MKD Publishing House
Year : 2019
Exponential stability results on random and fixed time impulsive differential systems with infinite delay
Cite this Research Publication : Xiaodi Li, A. Vinodkumar, and T. Senthilkumar, "Exponential stability results on random and fixed time impulsive differential systems with infinite delay," Mathematics, 2019, 7 (9): 843.
Publisher : Mathematics
Year : 2018
Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments
Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, and Xiaodi Li, "Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments," Advances in Difference Equations, 2018, 2018 (1): 39.
Publisher : Advances in Difference Equations
Year : 2018
On neutral impulsive stochastic differential equations with Poisson jumps
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Publisher : Advances in Difference Equations
Year : 2018
Global existence and stability results for mild solutions of random impulsive partial integro-differential equations
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Publisher : Filomat
Year : 2017
Some results in stochastic functional integro-differential equations with infinite delays
Cite this Research Publication : Dr. Vinodkumar A., “Some results in stochastic functional integro-differential equations with infinite delays”, International Journal of Dynamical Systems and Differential Equations, vol. 7, pp. 36-50, 2017.
Publisher : International Journal of Dynamical Systems and Differential Equations
Year : 2016
Exponential Stability Results for Fixed and Random Type Impulsive Hopfield Neural Networks
Cite this Research Publication : Dr. Vinodkumar A. and Rakkiyappan, R., “Exponential Stability Results for Fixed and Random Type Impulsive Hopfield Neural Networks”, International Journal of Computing Science and Mathematics, vol. 7, pp. 1–19, 2016.
Publisher : International Journal of Computing Science and Mathematics
Year : 2016
Existence, Uniqueness and Stability of Random Impulsive Fractional Differential Equations
Cite this Research Publication : Dr. Vinodkumar A., Malar, K., GOWRISANKAR, M., and MOHANKUMAR, P., “Existence, Uniqueness and Stability of Random Impulsive Fractional Differential Equations”, Acta Mathematica Scientia, vol. 36, no. 2, pp. 428 - 442, 2016.
Publisher : Acta Mathematica Scientia
Year : 2016
Existence and Stability Solutions of Nonlinear Stochastic Functional Partial Integrodifferential Equations with Infinite Delay
Cite this Research Publication : C. Parthasarathy, M Arjunan, M., and Dr. Vinodkumar A., “Existence and Stability Solutions of Nonlinear Stochastic Functional Partial Integrodifferential Equations with Infinite Delay”, International Journal of Mathematics in Operational Research, vol. 9, pp. 65–78, 2016.
Publisher : International Journal of Mathematics in Operational Research, Inderscience Publishers (IEL).
Year : 2016
Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses.
Cite this Research Publication : Dr. Vinodkumar A., GOWRISANKAR, M. U. T. H. U. S. A. M. Y., and MOHANKUMAR, P. R. A. T. H. I. B. A. N., “Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses.”, Kyungpook Mathematical Journal, vol. 56, pp. 431 - 450, 2016.
Publisher : Kyungpook Mathematical Journal.
Year : 2016
Existence and Stability Results for Random Impulsive Fractional Pantograph Equations
Cite this Research Publication : A. Anguraj, Dr. Vinodkumar A., and Malar, K., “Existence and Stability Results for Random Impulsive Fractional Pantograph Equations”, Faculty of Sciences and Mathematics, vol. 30, pp. 3839-3854, 2016.
Publisher : Faculty of Sciences and Mathematics, University of Nis, Faculty of Sciences and Mathematics.
Year : 2016
Approximate controllability of random impulsive semilinear control systems
Cite this Research Publication : S. Vijay, Loganathan, C., and Dr. Vinodkumar A., “Approximate controllability of random impulsive semilinear control systems”, Nonlinear Studies, vol. 23, pp. 273-280, 2016.
Publisher : Nonlinear Studies, Cambridge Scientific Publishers,
Year : 2016
Approximate Controllability of Random Impulsive Semilinear Control Systems.
Cite this Research Publication : S. Vijay, Loganathan, C., and Dr. Vinodkumar A., “Approximate Controllability of Random Impulsive Semilinear Control Systems.”, Nonlinear Studies, vol. 23, pp. 273 - 280, 2016.
Publisher : Nonlinear Studies.
Year : 2015
Existence, Uniqueness and stability of Random Impulsive Neutral Partial Differential Equations
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Publisher : Journal of the Egyptian Mathematical Society
Year : 2014
Stability results of Random Impulsive Semilinear Differential Equations
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Publisher : Acta Mathematica Scientia
Year : 2014
Existence results for Random Impulsive Neutral Differential Inclusions with Lower Semicontinuous
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Publisher : International Journal of Computing Science and Mathematics
Year : 2013
Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro-differential Evolution Equations with Infinite Delay
Cite this Research Publication : C. .Parthasarathy, M. Arjunan, M., and Dr. Vinodkumar A., “Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro-differential Evolution Equations with Infinite Delay”, International Journal of Computer Applications (0975 - 8887), vol. 65, pp. 1–7, 2013.
Publisher : International Journal of Computer Applications (0975 - 8887)
Year : 2013
EXISTENCE RESULTS ON IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS
Cite this Research Publication : A. Anguraj, Dr. Vinodkumar A., and Chang, Y. K., “EXISTENCE RESULTS ON IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS”, 2013.
Publisher : EXISTENCE RESULTS ON IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS
Year : 2013
Dynamic Analysis for High-order Hopfield Neural Networks with Leakage Delay and Impulsive Effects
Cite this Research Publication : R. Rakkiyappan, Pradeep, C., Dr. Vinodkumar A., and Rihan, F. A., “Dynamic Analysis for High-order Hopfield Neural Networks with Leakage Delay and Impulsive Effects”, Neural Computing and Applications, vol. 22, pp. 55–73, 2013.
Publisher : Neural Computing and Applications
Year : 2012
Existence Results on Random Impulsive Semilinear functional Differential Inclusions with Delays
Cite this Research Publication : Dr. Vinodkumar A., “Existence Results on Random Impulsive Semilinear functional Differential Inclusions with Delays”, Ann. Funct. Anal, vol. 3, pp. 89–106, 2012.
Publisher : Ann. Funct. Anal
Year : 2012
Existence and Uniqueness of Solutions for Random Impulsive Differential Equation
Cite this Research Publication : Dr. Vinodkumar A., “Existence and Uniqueness of Solutions for Random Impulsive Differential Equation”, Malaya Journal of Matematik, vol. 1, pp. 8–13, 2012.
Publisher : Malaya Journal of Matematik
Year : 2012
Delay-Dependent Exponential Stability Results for Uncertain Stochastic Hopfield Neural Networks with Interval Time-varying Delays
Cite this Research Publication : C. Pradeep, Dr. Vinodkumar A., and Rakkiyappan, R., “Delay-Dependent Exponential Stability Results for Uncertain Stochastic Hopfield Neural Networks with Interval Time-varying Delays”, Arabian Journal of Mathematics, vol. 1, pp. 227–239, 2012.
Publisher : Arabian Journal of Mathematics
Year : 2011
Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays
Cite this Research Publication : A. Vinodkumar, Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays, Journal of Nonlinear Sciences and Applications, International Scientific Research Publications, 2011, https://doi.org/10.22436/jnsa.004.04.02
Publisher : International Scientific Research Publications
Year : 2011
Existence Results for Stochastic Semilinear Differential Inclusions with nonlocal Conditions
Cite this Research Publication : Dr. Vinodkumar A. and Boucherif, A., “Existence Results for Stochastic Semilinear Differential Inclusions with nonlocal Conditions”, International Journal of Stochastic Analysis, vol. 2011, 2011.
Publisher : Hindawi Publishing Corporation
Year : 2011
Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays
Cite this Research Publication : Dr. Vinodkumar A. and Anguraj, A., “Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays”, Nonlinear Analysis: Hybrid Systems, vol. 5, pp. 413 - 426, 2011.
Publisher : Nonlinear Analysis: Hybrid Systems
Year : 2011
The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness
Cite this Research Publication : A. Anguraj, Wu, S., and Dr. Vinodkumar A., “The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness”, Nonlinear Analysis: Theory, Methods & Applications, vol. 74, pp. 331 - 342, 2011.
Publisher : Nonlinear Analysis: Theory, Methods Applications
Year : 2010
EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS
Cite this Research Publication : A. Anguraj and Dr. Vinodkumar A., “EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS”, Journal of Applied Mathematics and Informatics, vol. 28, pp. 739–751, 2010.
Publisher : The Korean Society for Computational and App. Math
Year : 2009
Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays
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Publisher : Electron. J. Qual. Theory Differ. Equ
Year : 2009
Existence and uniqueness of neutral functional differential equations with random impulses
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Publisher : International Journal of Nonlinear Science