- S. Vimal Kumar and Jonghoek Kim, Actuator fault-tolerant mixed passivity and H∞ control for autonomous marine surface vehicles: a sampled-data approach, European Journal of Control, 81 (2025) 101167.
- D. Kumar and S. Vimal Kumar, Even Vertex In-Magic Total Labeling of Digraphs: EVIMTL, Proyecciones, 44(1) (2025) 1-8.
- S. Vimal Kumar and Jonghoek Kim, Robust H∞ control for autonomous underwater vehicle’s time-varying delay systems under unknown random parameter uncertainties and cyber-attacks, Applied Sciences, 14 (2024) 8827.
- S. Vimal Kumar, D. Kumar and S. Sivasundaram, Secure dominance for quartic graphs with girths three and four, Mathematics in Engineering, Science and Aerospace, 14(4) (2023) 1089-1097.
- S. Vimal Kumar, R. Raja and P. Indumathi, Fault-tolerant control for delayed interval type-2 fuzzy systems with nonlinear fault input, Journal of Physics: Conference Series, 1850 (2021) 012070.
- A Magesh and S. Vimal Kumar, Effect of magnetic field on the peristaltic transport of Oldroyd-B fluid in an asymmetric inclined channel, Journal of Physics: Conference Series, 1850 (2021) 012111
- R. Arasu, N. Parvathi and S. Vimal Kumar, Analysis of Graph Theory Approach for Energy Optimization in Wireless Sensor Networks, Journal of Green Engineering, 10(10) (2020) 8010-8021.
- N. Jayalakshmi, S. Vimal Kumar and P. Thangaraj, Hamiltonian Fuzzy Cycles in Generalized Quartic Fuzzy Graphs with Girth k, Advances in Intelligent Systems and Computing, 1108, (2020) 1190-1202.
- Quanxin Zhu, S. Vimal Kumar, R. Raja and Fathilla Rihan, Extended dissipative analysis for aircraft flight control systems with random nonlinear actuator fault via non-fragile sampled-data control, Journal of the Franklin Institute Engineering and Applied Mathematics, 356 (2019) 8610-8624.
- S. Vimal Kumar, S. Marshal Anthoni and R. Raja, Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control, Mathematics and Computers in Simulation, 155 (2019) 217-226.
- S. Vimal Kumar, R. Raja, S. Marshal Anthoni, Zhengwen Tu and Jinde Cao, Robust finite-time non-fragile sampled-data control for flexible spacecraft with stochastic actuator faults, Applied Mathematics and Computation, 321 (2018) 483-497.
- S. Vimal Kumar, R. Sakthivel, M. Sathiskumar and S. Marshal Anthoni, Finite-time passive reliable filtering for fuzzy systems with missing measurements, Journal of Dynamic Systems, Measurement and Control, 140 (2018) 1-10.
- J. Vernold Vivin, V. Kowsalya, S. Vimal Kumar, On star chromatic number of prism graph families, TWMS Journal of Applied and Engineering Mathematics, 9(3) (2019) 687-692.
- R. Parimelazhagan, V. Sulochana and S. Vimal Kumar, Secure domination in 4-regular planar and non-planar graphs with girth 3, Utilitas Mathematica, 108 (2018) 273-282.
- R. Subashini, S. Vimal Kumar, S. Saranya and C. Ravichandran, On the controllability of non-densely defined fractional neutral functional differential equations in Banach spaces, International Journal of Pure and Applied Mathematics, 118 (2018) 257-276.
- R. Sakthivel, D. Aravindh, P. Selvaraj, S. Vimal Kumar and S. Marshal Anthoni, Vibration control of structural systems via robust non-fragile sampled-data control scheme, Journal of the Franklin Institute Engineering and Applied Mathematics, 354(3) (2017) 1265-1284.
- N. Mohanapriya, S. Vimal Kumar, J. Vernold Vivin and M. Venkatachalam, Domination number of 4-regular graphs with girth 3, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 85(2) (2015) 259-264.
- S. Kohila and S. Vimal Kumar, Fuzzy If-then rule in k-regular fuzzy graph, International Journal of Applied Mathematics, 7(1) (2017) 19-23.
- R. Sakthivel, S. Vimal Kumar, D. Aravindh and P. Selvaraj, Reliable dissipative sampled-data control for uncertain systems with nonlinear fault input, Journal of Computational and Nonlinear Dynamics, 11(5) (2016) 1-9 .
- N. Jayalakshmi, S. Vimal Kumar and P. Thangaraj, Hamiltonian fuzzy cycles in quartic fuzzy graphs with girth k (k=3,4,5,6,7,8,9), International Journal of Pharmacy & Technology, 8 (2016) 17619-17626
- V. Kowsalya and S. Vimal Kumar, On domination number and star chromatic number of corona graphs, International Journal of Pharmacy & Technology, 8 (2016) 18559-18564
- D. Aravindh, S. Vimal Kumar and S. Marshal Anthoni, Dissipative robust reliable sampled-data control for T-S fuzzy systems with nonlinear actuator fault, Asian Journal of Research in Social Sciences and Humanities, 6(6) (2016) 190-201.
- S. Vimal Kumar, N. Mohanapriya, J. Vernold Vivin and M. Venkatachalam, On dynamic chromatic number of 4-regular graphs with girth 3 and 4, Asian Journal of Mathematics and Computer Research, 7(4), (2016) 345-353.
International and National Conferences:
Paper Presented in International Conferences:
- Presented “Hamiltonian Fuzzy Cycles in Generalized Quartic Fuzzy Graphs with Girth k” in International Conference on Computational Vision and Bio Inspired Computing, RVS Technical Campus, Coimbatore, India, September 25-26, 2019.
- Presented “Dissipative analysis for aircraft flight control system with randomly occurring uncertainties via non-fragile sampled-data control” in International Conference on Mathematical Modeling and Computational Methods in Science and Engineering, Alagappa University, Karaikudi, India, February 20-22, 2017.
- Presented “Dissipative analysis for fuzzy system with randomly occurring uncertainties via non-fragile sampled-data control” in International Conference on Differential Equations and Applications, Bharathiar University, Coimbatore, India, March 15-16, 2017.
- Presented “Disturbance Rejection of T-S Fuzzy Time-delay Systems Based on EID Approach” in International Conference on Nonlinear Dynamical Systems, Bharathiar University, Coimbatore, India, March 24-26, 2016.
Paper Presented in National Conferences:
- Participated in the One Day Symposium on Recent Trends in Mathematics held at Department of Mathematics, D.K.M. College for Women, Vellore on February 28, 2013.
- Participated in the 17th Ramanujam Symposium on Mathematical Analysis and Application held at The Ramanujan Institute for Advanced Study in Mathematics, University of Madras, during October 29 -31, 2012.
- Participated in the National Conference on Recent Trends in Fuzzy Sets held at Department of Mathematics, Navarasam Arts and Science College for Women, Erode on Sep 25, 2010.
- Participated & Presented in the One Day National Conference on Applications of Mathematics in Applied Sciences held at Department of Mathematics, D.K.M. College for Women, Vellore on March 24, 2010.
- Participated in the National Conference on Differential Equations and Applications held at Department of Mathematics, Periyar University, Salem during Sep 28-29, 2006.