Research
Research
My research interests lie in the field of applied mathematics, with a particular emphasis on the interplay between the following areas:
- Control theory,
- Differential topology,
- Stochastic process,
- Partial differential equations, and
- Numerical optimization.
As part of my master’s thesis, I am investigating the interplay between algebraic topology and control theory.
Robust distribution steering governed by linear parabolic PDEs (To be uploaded Soon....)
Topic To be Decided (Not Coming Soon.....)
Patent
V. Upadhyay, S. Ganguly, D. Chatterjee
Method & System for Autonomously Controlling Shaft Speed of Gas Turbine Engines using Non-linear Explicit MPC.
Page 103981 of "The Patent Office Journal No. 45/2024 Dated 8/11/2024".
Journal publications
V. Upadhyay, S. Ganguly, K. Kashima, D. Chatterjee
Constrained minmax density transportation for parabolic PDEs: A direct optimal control approach.
Under Review, IEEE Transactions on Automatic Control.
V. Upadhyay, S. Ganguly, D. Chatterjee
Exact solutions to constrained optimal control problems via lossless convexification for Digital Control.
Under Review, Automatica.