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Dr. S. Vimal Kumar

Associate Professor

Mathematics

+91 431 2258444

vimalkumar.s@ist.srmtrichy.edu.in vimalkus@srmist.edu.in

Total Experience 

Area of intErest

Control Systems, Differential Equations, Graph Theory

17 Years 6 Months

course handled

Calculus and Linear Algebra, Advanced Calculus and Complex Analysis, Discrete Mathematics

 Education Details

  • Publication details

    • 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.

  • Awards and Achievements

    Journal Reviewer :


    • Applied Mathematics and Computation (SCI-Impact Factor – 2.3), Elsevier.
    • Mathematics and Computers in Simulation (SCI-Impact Factor - 1.476), Elsevier.
    • Nonlinear Dynamics (SCI-Impact Factor-4.339), Springer.
    • IEEE Transactions on Fuzzy Systems (Impact Factor - 8.415).
    • IEEE Transactions on Systems, Man, and Cybernetics: Systems (Impact Factor-7.351).
    • International Journal of Advanced Intelligence Paradigms, Scopus.
    • Journal of Physics: Conference Series, Scopus, IOP Science.
    • International Journal of Control, (SCI-Impact Factor – 2.930), Taylor & Francis.
    • Journal of Marine Science and Engineering (SCIE-Impact Factor-2.7) MDPI

  • Workshops / Seminars

    International / National Workshops :


    • Participated in International Workshop on Topological Indices and Domination in Graphs held at Department of Mathematics & Actuarial Science, B S Abdur Rahman Crescent Institute of Science & Technology from 18th November to 23rd November 2024.
    • Participated in One day workshop on Research Methodology held at Anna University, Chennai on 12th December 2014.
    • Participated in International Workshop on Real Number System held at PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur on 10th December 2012.
    • Participated in National Workshop on Latex and Scilab held at Department of Mathematics, K.S.Rangasamy College of Arts and Science, Periyar University, Tiruchengode during Dec 03-05, 2010.

    National Seminars :


    • Participated in the National Seminar on Mathematical Analysis and Applications held at Department of Mathematics, Periyar University, Salem during Oct 6-7, 2005.

    Faculty Development Programme (FDP)


    • Participated in “Online - Six Day FDTP on Discrete Mathematics”, Organized by Department of Mathematics, Ramco Institute of Technology, Rajapalayam and Sponsored by Centre for Faculty Development, Anna University, Chennai during 28.06.2021 to 03.07.2021.
    • Participated in Faculty Development Programme on Modern Teaching Practices held at RVS Technical Campus-Coimbatore on 21st September 2013.
    • Participated in State Level FDP on Research Publication held at Vysya College of Education, Salem on 21st September 2012.

    National / International Events Organized:


    • Event Coordinator in Training Programme on “IEEE Xplore Digital Library”, Organized by Department of Library, KGISL Institute of Technology, Coimbatore and National Digital Library of India (NDLI) on Oct 20, 2023.
    • Event Coordinator in Training Programme on “IEEE Xplore Digital Library”, Organized by Department of Library, KGISL Institute of Technology, Coimbatore and National Digital Library of India (NDLI) on June 14, 2023.
    • Event Coordinator in One Day “National Mathematics Day”, Organized by Department of Mathematics, KGISL Institute of Technology, Coimbatore, on Dec. 22, 2022.
    • Event Coordinator in Hybrid mode - Three Days “National Mathematics Day”, Organized by Department of Mathematics, KGISL Institute of Technology, Coimbatore, from Dec. 21 to Dec. 23, 2021.
    • Event Coordinator in Webinar on “The Role of Engineering Mathematics in GATE Exam”, Organized by Department of Mathematics, KGISL Institute of Technology, Coimbatore, on 03 Sep. 2021.
    • Event Coordinator in “Online - Six Day FDTP on Algebra and Number Theory”, Organized by Department of Mathematics, KGISL Institute of Technology, Coimbatore and Sponsored by Centre for Faculty Development, Anna University, Chennai, during 24.05.2021 to 29.05.2021.
    • Event Convener and Organizing Secretary in one day “International Seminar on Mathematics and Chemical Graph Theory”, Department of Mathematics, Dr. R. K. Shanmugam College of Arts & Science, Indili, Kallakurichi, India on 3rd October 2019.
    • Event Convener and Organizing Secretary in one day “International Workshop on Fuzzy Mathematics & Its Applications”, Department of Mathematics, Dr. R. K. Shanmugam College of Arts & Science, Indili, Kallakurichi, India on 28th February 2020.
    • Events Convener and Organizing Secretary in three days online “COVID-19-QUIZ ON APTITUDE”, Organized by Department of Mathematics, Dr. R. K. Shanmugam College of Arts & Science, Indili, Kallakurichi, India on 14-16 May 2020.





  • Work Experience

    Academic Experience:


    • Associate Professor, Division of Mathematics, School of Science, SRM Institute of Science and Technology, Tiruchirappalli Campus  (February 10, 2025 to till date) 
    • Post-Doctoral Researcher, Department of Defense System Engineering, Sejong University, Seoul, South Korea, (Nov. 1, 2023 to Nov. 30, 2024).
    • Associate Professor, Department of Mathematics, KGISL Institute of Technology, Coimbatore (February 4, 2021  to  October 21, 2023)
    • Assistant Professor and HoD, Department of Mathematics, Dr. R. K. Shanmugam College of Arts & Science, Kallakurichi (June 26, 2019  to  Jan  31, 2021)
    • Assistant Professor, Department of Mathematics, RVS Technical Campus-Coimbatore (June 19,  2013  to  June 25, 2019)
    • Assistant Professor, Department of Mathematics, Vysya College, Salem (June 1, 2010  to  June 5, 2013)
    • Lecturer, Department of Mathematics, Shanmuga Industries Arts & Science College, Tiruvannamalai (July 16, 2007  to  May 31, 2010)

  • Memberships

    • International Association of Engineers (Member Number: 226562) 
    • Institute of Research Engineers and Doctors (Membership No. AM10100055628) 

  • Funded Projects

    FDTP Fund Received:


    Online Six Day FDTP on Algebra  &  Number Theory , Rs. 30,000 funds sanctioned by Anna University, Chennai , May 2021