Shah, V., K. Anukiruthika, P. Muthukumar, J. Sharma, D. Patel, and G. Trivedi. “Existence and Trajectory Controllability for the Conformable Fractional Evolution Systems”. Malaya Journal of Matematik, vol. 13, no. 01, January 2025, pp. 63-74, doi:10.26637/mjm1301/008.
V. M. Janani, B. Visakamoorthi, P. Muthukumar and Sung-ho Hur, A Novel Sampled-Data Control for Reachable Set Estimation of Nonlinear Multiagent Systems, IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 55, No.1, pp. 380 - 389, January 2025. DOI: 10.1109/TSMC.2024.3476370.
Saranya, G., Deepa, R. & Muthukumar, P. Pareto Optimal Cooperative Control of Mean-Field Backward Stochastic Differential System in Finite Horizon. Dynamic Games and Applications 15(1), pp.279–305 (March - 2025). DOI: https://doi.org/10.1007/s13235-024-00566-7
G. Saranya, P. Muthukumar, Mokhtar Hafayed, Maximum principle for optimal control of fully coupled mean-field forward-backward stochastic differential equations with Teugels martingales under partial observation, Optimal Control, Applications and Methods, Vol.46(2), March/April 2025, pp.747-765. DOI: https://doi.org/10.1002/oca.3228.
V. M. Janani, K. Subramanian, P. Muthukumar and H. Trinh, "A Novel Asymmetric Functional Approach on Sampled-Data-Based Exponential Consensus of Nonlinear Multi-Agent Systems Against FDI Attacks," IEEE Transactions on Signal and Information Processing over Networks, Vol. 11 (29 May 2025), pp.551-562. DOI: 10.1109/TSIPN.2025.3574872
Anukiruthika, K., Muthukumar, P., & Das, P. (2025). Semigroup-based theoretical prospects on optimal control of stochastic second-order Gurtin–Pipkin integro-differential equations. Optimization, published on 01 August 2025. https://doi.org/10.1080/02331934.2025.2534119
Anukiruthika, K., Muthukumar, P. Existence and trajectory controllability results for conformable stochastic system with multivalued operators and jump perturbations. Complex Anal. Oper. Theory. Vol.19(6), Article No.160 (August 2025). https://doi.org/10.1007/s11785-025-01789-1
Murugan Kaleeswari, Gurusamy Manikandan , David Katerere and Palanisamy Muthukumar, A systematic review on the analysis of study design, statistical methods and statistical software tools used in South African health science research, Discover Data 3, 54 (November 2025). DOI: https://doi.org/10.1007/s44248-025-00083-x
G. Saranya and P. Muthukumar, "Stochastic maximum principle for non-zero sum delayed mean-field differential game under partial information," 2025 Eleventh Indian Control Conference (ICC), Bangalore, India, 2025, pp. 186-191, DOI: 10.1109/ICC69100.2025.11372351.
K. Anukiruthika and P. Muthukumar, "Trajectory controllability of stochastic second-order Gurtin-Pipkin integro-differential equations *," 2025 Eleventh Indian Control Conference (ICC), Bangalore, India, 2025, pp. 733-738, DOI: 10.1109/ICC69100.2025.11372420.
M. Priyanka and P. Muthukumar, Bifurcation Analysis of a Discrete-Time Coral Reef Model with Growth Rate on Macroalgae, The European Physical Journal Special Topics (Eur. Phys. J. Spec. Top. ), Volume 234(8), pages 2057–2065, (August - 2025). DOI: https://doi.org/10.1140/epjs/s11734-024-01196-1 and presented at the International Conference on Emerging Frontiers in Nonlinear Complex Systems, Computational Intelligence and their Applications (ICNCS-2024) held from 07-09 February 2024, organized by the Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) Chennai.
P. Muthukumar and K. Anukiruthika, Optimal Control System of Multi-Term Fractional Stochastic Inclusion with Clarke’s Subdifferential, The European Physical Journal Special Topics, Volume 234(8), pages 2141–2150, (August - 2025) , DOI: https://doi.org/10.1140/epjs/s11734-024-01200-8 and presented at the International Conference on Emerging Frontiers in Nonlinear Complex Systems, Computational Intelligence and their Applications (ICNCS-2024) held from 07-09 February 2024, organized by the Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) Chennai.
1. .....