Dr. Mahendra Kumar Gupta
Assistant Professor
- Office: 343, SBS
- mkgupta@iitbbs.ac.in
- Department of Mathematics
Research Interests:
Control Theory Linear Algebra & Matrix Theory Observer design Differential-Algebraic Equations (Descriptor Systems) Design of Input and Output Feedback
Education
| Degree | Discipline | Year | School |
|---|---|---|---|
| PhD | Mathematics | 2016 | IIT Patna |
| M.Sc. | Mathematics | 2011 | University of Rajasthan, Jaipur |
| B.Sc. | Mathematics, Physics, Computer Application | 2009 | University of Rajasthan, Jaipur |
| Post – Doc | Control Theory, Linear Algebra | 2016-2018 | IIT Madras |
Spring 2023: B.Tech. – Mathematics-II (Linear Algebra & Complex Analysis)
Autumn 2023: M.Sc.- Optimization Techniques, Optimization Techniques Lab
Spring 2024: M.Sc., B.Tech., PhD (open) – Mathematical Theory of Control
Previously taught in NIT JSR Functional Analysis (2 times), Probability & Statistics (4 times), Operations Research (2 times), Linear Algebra (3 times), Engineering Maths-I (2 times), Engineering Maths-II, Engineering Maths-III
Ph.D in NITJSR
- Abhinav Kumar (Thesis submitted, Admitted in 2019)
- Meenakshi Tripathi (Admitted in 2020)
- Mamoni Paitandi (Admitted in 2020)
Ph.D. in IITBBS
1. Sweta Kumari (Admitted in Jan 2024)
Sponsored Research Projects as Principal Investigator
Project 1
Title: Rectangular singular control systems in descriptive form: structural analysis and design
Funding Agency: SERB-DST, New Delhi, India
Amount: 6,60,000/- INR
Duration: 21-Dec-2023 to 20-Dec-2026 (3 years)
Project No: MTR/2023/001329
Project 2
Title: Adaptive observer construction of nonlinear control systems governed by differential algebraic equations
Funding Agency: IIT Bhubaneswar (Seed Grant)
Amount: 15,10,000/- INR
Duration: 18-12-2023 to 17-12-2025 (2 years)
Project No: SP132
Project 3
Title: State Estimation and Fault Diagnosis for Differential-Algebraic Nonlinear Control Systems
Funding Agency: SERB-DST, New Delhi, India
Amount: 14,64,087/-
Duration: 16-12-2019 to 15-12-2021 (2 years)
Project No: SRG/2019/000451
Evaluation by SERB: Very Good
- A. Kumar, M. Paitandi, M. K. Gupta, ‘Impulse Eliminations for Rectangular Descriptor Systems: A Unified Approach’ IEEE Control Systems Letters, IEEE, 7, pp. 1357–1362, 2023, (Q1, ESCI).
- A. Kumar, M. K. Gupta, Generalized observer design of index one for descriptor systems with unknown inputs, Archives of Control Sciences, 33(1), pp. 83-99, 2023, (IF: 1.443).
- M. Chand, M. Paitandi, M. K. Gupta, ‘Qualitative Sign Stability of a Matrix Pair’ Acta Polytechnica, 63(3), pp. 171–178, 2023.
- L. Moysis, M. Tripathi, M.K. Gupta, M. Marwan, C. Volos. Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization, Archives of Control Sciences, 32(1), pp. 105-121, 2022
- J. Jaiswal, M.K. Gupta, N.K. Tomar. Necessary and sufficient conditions for ODE observer design of descriptor systems, Systems & Control Letters, Elsevier, 151, pp. 104916, 2021
- L. Moysis, M.K. Gupta, V.K. Mishra, M. Marwan, C. Volos. Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs – Application to secure communications, Int. J. Robust Nonlinear Control, Wiley, 30(18), 8139-8158, 2020
- M.K. Gupta, N.K. Tomar, M. Darouach. Unknown inputs observer design for descriptor systems with monotone nonlinearities, Int. J. Robust Nonlinear Control, Wiley, 28(17), 5481-5494, 2018
- A. Kumar, M. Paitandi, M. K. Gupta. Analysis of Impulsive Modes in Kronecker Canonical Form for Rectangular Descriptor Systems, Indian Control Conference, IIT Madras 2022
- L. Moysis, M. Tripathi, M.K. Gupta, C. Volos. Chaos Synchronization, Anti-Synchronization, and Parameter Estimation in a Chaotic System with Coexisting Hidden Attractors, Indian Control Conference, Dec 20-22, 2021, IIT Bombay, pp. 430-435, IEEE
- M.K. Gupta, N.K. Tomar, D. Sharma, J. Jaiswal. PD Observer Design for Descriptor Systems with Unknown Inputs: Application to Infinite Bus System, 5th IEEE Int. Conf. Recent Advances and Innovations in Engineering, Dec 1-3, 2020, Poornima College of Engineering Jaipur, IEEE,