15. S. Arunagirinathan and P. Muthukumar, Improved results on asymptotic stability criteria for additive time-varying delay system and its applications, 2019 Fifth Indian Control Conference (ICC) held during 9-11 Jan. 2019 at IIT-Delhi, New Delhi, India, 16 May 2019, pp. 57-62. DOI: 10.1109/INDIANCC.2019.8715574
14. S. Arunagirinathan and P. Muthukumar, Reliable H_infinity controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults, The Journal of Analysis, March 2019, Volume 27, Issue 1, pp 19–37 , https://doi.org/10.1007/s41478-018-0101-x International Conference on Applied Analysis, Mathematical Modeling and Computing Techniques (ICAAMMCT 2018) organized by Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram held during March 15-17, 2018.
13. N. Durga and P. Muthukumar, Existence and Exponential Behavior of Multi-valued Nonlinear Fractional Stochastic Integro-differential Equations with Poisson Jumps of Clarke's Subdifferential Type, Mathematics and Computers in Simulation, Volume 155, January 2019, Pages 347-359 , doi: https://doi.org/10.1016/j.matcom.2018.07.012 as a SI: ICMMCMSE 2017 of International Conference on Mathematical Modeling and Computational Methods in Science and Engineering, Alagappa University, Karaikudi, India, 20–22 February 2017.
12. B. Ganesh Priya and P. Muthukumar, Controllability and minimum energy control of fractional neutral delay system, IFAC-PapersOnLine, Volume 51, Issue 1, 2018, Pages 592–597 https://doi.org/10.1016/j.ifacol.2018.05.099 . IFAC 5th International Conference on Advances in Control & Optimization of Dynamical Systems (ACODS-2018) during February 18-22, 2018 organized by Dr. APJ Abdul Kalam Missile Complex (DRDL), Hydrabad, INDIA
11. R. Deepa and P. Muthukumar, Infinite horizon mean-field type relaxed optimal control with Lévy processes, IFAC-PapersOnLine, Volume 51, Issue 1, 2018, Pages 136–141 https://doi.org/10.1016/j.ifacol.2018.05.023 IFAC 5th International Conference on Advances in Control & Optimization of Dynamical Systems (ACODS-2018) during February 18-22, 2018 organized by Dr. APJ Abdul Kalam Missile Complex (DRDL), Hydrabad, INDIA
10. P. Muthukumar and R. Deepa, Stochastic maximum principle for mean field type singular optimal control problem with discounted cost, Int. J. Computational Systems Engineering, accepted on 11 May 2018. Presented at International Conference on Mathematical Modeling and Computational Methods in Science and Engineering, Alagappa University, Karaikudi, India, 20–22 February 2017.
9. R. Deepa and P. Muthukumar, Infinite horizon optimal control of mean‑field delay system with semi‑Markov modulated jump‑diffusion processes, The Journal of Analysis,18 May 2018, https://doi.org/10.1007/s41478-018-0098-1 International Conference on Applied Analysis, Mathematical Modeling and Computing Techniques (ICAAMMCT 2018) organized by Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram held during March 15-17, 2018.
8. N. Durga and P. Muthukumar, Optimal control of fractional reaction - diffusion equations with Poisson jumps, The Journal of Analysis, 18 May 2018 https://doi.org/10.1007/s41478-018-0097-2 International Conference on Applied Analysis, Mathematical Modeling and Computing Techniques (ICAAMMCT 2018) organized by Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram held during March 15-17, 2018.
7. K. Thiagu and P. Muthukumar, Global existence of solutions for a class of fractional nonlocal neutral impulsive stochastic differential equations of order 2<1q with infinite delay and Poisson jumps, Global Journal of Pure and Applied Mathematics, ISSN 0973-1768 Volume 13, Number 5 (2017), 157-167. https://www.ripublication.com/Volume/gjpamv13n5spl.htm International Conference on Discrete and Computational Mathematics (ICDCM-2017) held during February 16-18, 2017 organized by the Department of Mathematics, The Gandhigram Rural Institute – Deemed University, Gandhigram
6. K. Subramanian, P. Muthukumar and S. Lakshmanan, Robust Stabilization of Uncertain Neural Networks with Additive Time-Varying Delays, IFAC-Papers On Line Volume 49, Issue 1, 2016, Pages 154–159. 4th International Conference on Advances in Control and Optimization of Dynamical Systems, NIT Tiruchirappalli, India (IFAC ACODS 2016), February 1-5, 2016. DOI:10.1016/j.ifacol.2016.03.045
5. R. Deepa and P. Muthukumar Mean-Field Stochastic Volterra Optimal Singular Control with Poisson Jumps, IFAC-Papers On Line Volume 49, Issue 1, 2016, Pages 230–235. 4th International Conference on Advances in Control and Optimization of Dynamical Systems, NIT Tiruchirappalli, India (IFAC ACODS 2016), February 1-5, 2016. DOI:10.1016/j.ifacol.2016.03.058
4. B. Ganesh Priya and P. Muthukumar Controllability Study on Fractional Order Impulsive Stochastic Differential Equation, IFAC-Papers On Line Volume 49, Issue 1, 2016, Pages 516–521. 4th International Conference on Advances in Control and Optimization of Dynamical Systems, NIT Tiruchirappalli, India (IFAC ACODS 2016), February 1-5, 2016.. DOI:10.1016/j.ifacol.2016.03.106
3. B. Ganesh Priya and P. Muthukumar, Approximate solution for time-delay fractional Fishers's equation by shifted Jacobi - Gauss collocation method, Mathematical Sciences International Research Journal (ISSN : 2278-8697), Vol.4, Iss.2(2015), pp.104-108.
2. C. Rajiv Ganthi and P. Muthukumar, Approximate Controllability of Fractional Stochastic Integral Equation with Finite Delays in Hilbert Spaces, Mathematical Modelling and Scientific Computation: Communications in Computer and Information Science, 2012, vol. 283, Part 1, pp.302-309, doi: 10.1007/978-3-642-28926-2_32 : International Conference, ICMMSC 2012, Gandhigram, Tamil Nadu, India, March 16-18, 2012, proceedings
1. P. Muthukumar and P. Balasubramaniam, On controllability of nonlinear neutral stochastic differential systems, Proceedings of Mathematics, Computing and Modeling, Allied Publishers, Pvt. Ltd., Chennai, India, 2007, pp. 39-48, ISBN:81-8424-213-1
1. B. Ganesh Priya, P. Muthukumar and P. Balasubramaniam, Chapter 4. Analysis of Solution and System Identification of Coupled Fractional Delay Differential Equation by Shifted Jacobi Polynomials, Frontiers in Fractional Calculus, Book Series: Current Developments in Mathematical Sciences, Edited by Sachin Bhalekar, eISBN: 978-1-68108-599-9, 2018 ISBN: 978-1-68108-600-2 ISSN: 2589-2711 (Print) ISSN: 2589-272X (Online) Vol.1, pp.107-132, Bentham Science Publishers, India, 2017.