Department of Mathematics
Projects
| Sponsored and Research Project | |||||
| S. No | Principal Investigator / Co-Principal Investigator | Project Titles | Year | Funding Agency | Total Grant in Lakhs(Rs.) |
| A. Completed | |||||
| 1 | Dr. P. Kanniappan | Study on Stability of Solutions and Convergence of Optimization Problems | 1994-1998 | NBHM | 01.25 |
| 2 | Dr. P. Balasubramaniam | Controllability of Second Order Integrodifferential System in Banach Space | 1996-1998 | DST | 01.68 |
| 3 | Dr. P. Balasubramaniam | Studies on Fuzzy Control Systems | 1999-2002 | CSIR | 04.50 |
| 4 | Dr. P. Balasubramaniam | Neural Networks for Nonlinear Control Systems and Dynamical Systems | 2003-2006 | DST | 03.48 |
| 5 | Dr. P. Balasubramaniam | Approximations of Solutions to Stochastic Functional Differential Equations | 2007-2010 | NBHM | 08.67 |
| 6 | Dr. S. R. Kannan | Fuzzy Clustering Techniques in Breast Medical Images | 2007-2010 | UGC | 05.62 |
| 7 | Dr. P. Balasubramaniam | Studies On Qualitative Properties Of Stochastic Partial Differential Equations | 2008-2011 | CSIR | 08.01 |
| 8 | Dr. P. Balasubramaniam | Studies on modeling for stochastic differential equations and their optimal control using neural networks genetic programming and Simulink approaches | 2008-2011 | DST-SERC | 16.13 |
| 9 | Dr. R. Uthayakuamar | Estimating The Chaotic Dynamics In The Human Brain Via Fractal Dimension | 2008-2011 | UGC-MRP | 07.26 |
| 10 | Dr. P. Balasubramaniam | Network Analysis of Social, Technological and Biological Networks | 2011-2016 | HIR MALAYSIA | 28.40 MYR |
| 11 | Dr. P. Balasubramaniam | UGC-BSR One time grant for creating Centre for Advanced Mathematics and Computing | 2013-2014 | UGC | 06.30 |
| 12 | Dr. P. Muthukumar | Mathematical aspects of Approximate Dynamic Programming (ADP) in Optimal Control | 2012-2013 | IUSSTF | 21.16 |
| 13 | Dr. G. Nagamani | Studies on passivity analysis for discrete-time neural networks with time-varying delays | 2012-2014 | UGC | 06.00 |
| 14 | Dr. P. Balasubramaniam | Studies on Stability and bifurcation analysis of dynamical systems | 2012-2015 | NBHM | 10.12 |
| 15 | Dr. P. Balasubramaniam | Existence, Controllability and Stability Analysis of Fractional Semilinear Differential Inclusions | 2013-2016 | CSR | 18.14 |
| 16 | Dr. R. Uthayakumar | Optimal Decision Making Through Inventory and Supply Chain Modelling in Healthcare Industries | 2013-2016 | CSIR | 09.04 |
| 17 | Dr. R. Uthayakumar | Fractal analysis of brain tumour detection and growth estimation | 2013-2016 | UGC | 09.26 |
| 18 | Dr. R. Uthayakumar | Mathematical Modeling of Multi-Item, Multi-Echelon Supply Chain System in Stochastic Environment | 2014-2017 | DST - SERB | 12.00 |
| 19 | Dr. R. Uthayakumar | Mathematical Modelling for Optimizing the Inventory Costs in a stochastic Envionment with Trade Credit and Service Level Constraint | 2014-2017 | NBHM | 09.84 |
| 20 | Dr. P. Muthukumar | A theoretical study on existence and controllability properties of abstract mathematical model of stochastic partial differential equations | 2014-2017 | NBHM | 10.84 |
| 21 | Dr. P. Muthukumar | Theoretical and Numerical Solutions for Fractional Order Optimal Control Problems | 2015-2018 | SERB(YSS) | 12.40 |
| 22 | Dr. P. Muthukumar | Stabilization of Network Control System with its Optimal Estimation | 2017-2020 | CSIR | 13.56 |
| 23 | Dr. P. Balasubramaniam | Studies on Qualitative Properties of Hilfer Fractional Stochastic Dynamical Systems | 2017-2021 | DST-SERB MATRICS | 6.60 |
| 24 | Dr. R. Uthayakumar | Impact of Learning functions on fuzzy Inventory Control models and green supply chain practices in Environmentally Hazardous Industries | 2019-2021 | UGC-BSR Mid-Career | 10.00 |
| 25 | Dr. P. Balasubramaniam | Fractional Dynamical Systems in Image Processing and Applications in Robotic Control | 2022-2022 | UGC-BSR Mid-Caree | 10.00 |
| 26 | Dr. G. Mahadevan | Exploring and Extending new/Existing Domination Parameters for Solving Real Life Problems via Graph Theoretical Modeling | 2020-2021 | GRI | 0.25 |
| 27 | Dr. P. Muthukumar | Resilient Sampled-Data Control for Nonlinear Multi-Agent Systems | 2020-2021 | GRI | 0.25 |
| 28 | Dr. G. Nagamani | Studies on Passivity and Dissipativity Analysis of Discrete-Time Dynamical Stems | 2019-2022 | NBHM | 16.03 |
| B. Ongoing | |||||
| 1 | Dr. P. Balasubramaniam | Quantum Neural Network-Based Adaptive Controller for Nonlinear Dynamical Systems and Applications | 2023-2026 | SERB-CRG | 20.52 |
| 2 | Dr. G. Nagamani | Extended Dissipativity Performance for Delayed Discrete-Time Neural Networks and its Engineering Applications | 2022-2025 | SERB-POWER | 18.66 |
| (Department Level - Sponsored and Research Project) | |||||
| S. No | Principal Investigator / Co-Principal Investigator | Project Titles | Year | Funding Agency | Total Grant in Lakhs(Rs.) |
| Completed | |||||
| 1 | Dr. P. Balasubramaniam Dr. R. Uthayakumar |
Optimization Theory And Mathematical Modeling | 2004-2009 | UGC-SAP (DRS-I) | 26.00 |
| 2 | Head of the Department | Funds for Improvement of S&T Infrastructure in Universities and Higher Educational Institutions | 2007-2012 | DST-FIST-I(Cycle-1) | 10.48 |
| 3 | Dr. P. Balasubramaniam Dr. R. Uthayakumar |
Stability Theory and Mathematical Modelling | 2009-2014 | UGC-SAP(DRS-II) | 41.00 |
| 4 | Head of the Department | Infrastructure Grant | 2007-2008 | UGC-SAP (Additional Grant) | 20.00 |
| 5 | Head of the Department | Funds for Improvement of S & T Infrastructure in Universities and Higher Educational Institutions | 2014-2019 | DST-FIST-I (Cycle-2) | 47.00 |
| 6 | Dr. P. Balasubramaniam Dr. R. Uthayakumar |
Qualitative Behaviours of Dynamical Systems and Mathematical Modelling | 2018-2023 | UGC-SAP (DSA-I) | 60.35 + Two Project Fellows |
| Library Books Grants | |||||
| 7 | Head of the Department | Department Library Books Grant | 1999-2024 | NBHM | 55.33 |
