• K. Mathiyalagan, N. Soundarya Lakshmi and R.Ragul, ``Backstepping-based boundary control design for reaction-diffusion equations with delays’’, The European Physical Journal Special Topics, (2024). (SCI, Q2)
• R. Ragul, K. Mathiyalagan, ``Observer based boundary control for semi- linear stochastic systems’’, International Journal of Control, (2025). (SCI,Q2)
• K. Mathiyalagan, R. Ragul, Ju H. Park and J. Palraj, “Exponential stabilisation and dissipativity analysis of semilinear parabolic systems”, International Journal of Systems Science,vol. 51, no.12, pp. 2181-2191, 2020.  (Indexing: SCIE, SJR: 1.851, IF: 4.9, Q1)
• K. Mathiyalagan, R. Ragul, “Observer-based finite-time dissipativity for parabolic systems with time-varying delays”, Applied Mathematics and Computation, vol. 413, 126605, 2022. (Indexing: SCIE, SJR: 1.026, IF: 3.5, Q1)
• K. Mathiyalagan, R. Ragul, G. Sangeetha and Y. K. Ma, “Exponential stability analysis of stochastic semi-linear systems with Lèvy noise”, IEEE Access, vol. 10, pp. 73871- 73878, 2022. (Indexing: SCIE, SJR: 0.96, IF: 3.4, Q1)
• R. Ragul, G. Sangeetha, K. Mathiyalagan and H. Zhang, “Exponential stability results for stochastic semi-Linear systems with Lèvy noise”, International Journal of Innovative Computing, Information and Control, vol. 18, no. 6, pp. 1929–1940, 2022. (Indexing: ESCI, Scopus, SJR: 0.47, Q3)
• K. Mathiyalagan, R. Ragul and Ju H. Park, “H∞ fault estimator for parabolic systems with time-varying delays and sensor faults”, 2022 13th Asian Control Conference (ASCC), pp. 889-894, 2022. 
• Manigandan Murugesan, Saravanan Shanmugam, Mohamed Rhaima, and Ragul Ravi, "Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models”, Fractal and Fractional, vol. 8 (7): 409,2024. (Indexing: SCIE, SJR: 0.65, IF:3.6 , Q2)
• Mathiyalagan, K., Soundarya Lakshmi, N. & Ragul, R. Backstepping-based boundary control design for reaction-diffusion equations with delays. European Physical Journal Special Topics (2024),  https://doi.org/10.1140/epjs/s11734-024-01414-w (Indexing: SCI, SJR: 0.45, IF:2.6 , Q2)

International and National Conferences

• “Robust observer design and stability analysis of semilinear stochastic PDE’s with Lèvy noise”, presented at International Conference on Nonlinear Dynamics: Modelling and Computation, Bharathiar University, 2025.
• “Observer based dissipativity analysis for partial differential equations with external disturbance”, presented at international conference of Industrial and Applied Mathematics, Bharathiar University and Anna University Regional campus, 2019.
• “Dissipativity results for parabolic partial differential equation with external disturbances”, presented at 2nd International Conference on Mathematical Modelling and Computational Methods in Science and Engineering, Alagappa University, 2020.
• “Exponential stabilization of semilinear parabolic PDE: An (Q, S, R)-dissipativity approach”, presented at National Conference on Partial Differential Equation and Applications, Periyar University, 2020.
• “Observer based dissipativity of second order partial differential equations”, presented at International Conference on Mathematical Modelling and Computational Intelligence Techniques, The Gandhigram Rural Institute (Deemed to be University), 2021.

• Academic Proficiency Award for the academic year 2015-2016 & 2016-2017.
• Best Outgoing Student for the academic year 2016-2017.
• First rank holder in M.Sc. program. 
• Ilam Bharathi Award-2020 for Elocution from Bharathiar University.
• Ilam Bharathi Award-2021 for Poetry from Bharathiar University.
• Selected as a Post-Doctoral Fellow at Automation control Laboratory, Kunsan National University, Republic of Korea. 2024.

Participated

• “Faculty Induction programme”, under Malaviya Mission Teacher Training Programme of UGC held from 27th January-22nd February,2025 organized by Malaviya Teacher Training Centre of Shri Mata Vaishno Devi University, Katra, J&K.
• Faculty Development Program on “Next-Gen AI and data analytics: Strategies for the future”, Department of Computer Engineering, Astana IT University, Astana,Kazakhstan from 31 March to 04 April 2025.
• Faculty Development Program on "Exploring New Horizons in Mathematics Research”, V.O.C College, Thoothukudi from 19 th to 24th August, 2024.
• Faculty Development Program on “Innovations in Sustainable Research and Modern Date-Driven Approaches", St. Joseph University, Nagaland, from 14th to 18th October 2024. 
• Faculty Development Program on “Recent Frontiers in Pure & Applied Mathematics”,  Kongunadu Arts and Science College, Coimbatore from 11th November to 15th November, 2024.
• “Eighth Summer Training Programme in Mathematics”, University of Madras, May 23- June 11, 2016.
• Second National Conference on Control and Inverse Problems, Central University of Tamil Nadu, Thiruvarur, March 01-02, 2018.
• National Workshop on “Numerical Techniques for Differential Equations”, Periyar University, March 16-17, 2018.
• Advanced Workshop on “Partial Differential Equations and Applications”, Central University of Kerala, December 16-30, 2019.
• Workshop on “Applications of Differential Equations”, Bharathiar University, February 12- 14, 2020.
• Workshop on “Academic Writing Skills”, Bharathiar University, June 15-27, 2020.
• NCM Workshop on “Control Theory for Differential Equations”, Indian Institute of Science          Education and Research, Kolkata, November 28- December 10, 2022.
• Faculty Development Program on “Practical Aspects of ICT Tools & online Teaching in current scenario”, Research foundation of India & RFI-Care, October 2-11, 2023.
• Workshop on “Identifying, writing & publishing research articles in scopus, SCI & WoS Journals”, Kongu engineering college, Erode, 16th December 2023.
• Faculty Development Program on “Inculating Universal Human Values in Technical Education”, All India Council for Technical Education (AICTE), New Delhi, April 1-5, 2024.

Academic Experience

Assistant Professor, Department of Science and Humanities, Karpagam Institute of Technology, Coimbatore, Tamilnadu (June 1st, 2023-May 31st 2024)

Assistant Professor, Department of Mathematics, SRM Institute of Science and Technology, Tiruchirappalli, Tamilnadu (August 12th,  2024 – Till date)

Research Experience

PhD in Mathematics, Bharathiar University, Coimbatore (July  2019 – April 2023).

Post-Doctoral Fellow, Kunsan National University, Republic of Korea. (June 2024 – August 2024).

Indian Society of Industrial and Applied Mathematics, Life Member, 2018.

NIL