Dr. Mahendra Kumar Gupta Assistant professor
School of Basic Sciences

Research Interests

Control Theory
Linear Algebra & Matrix Theory
Observer design
Differential-Algebraic Equations (Descriptor Systems)
Design of Input and Output Feedback

Contact Details

  • Room No 343, School of Basic Sciences (SBS), IIT Bhubaneswar
  • mkgupta@iitbbs.ac.in , mahendra14389@gmail.com

Other Profile Link(s)


 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


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

Recent Publications (International Journals)

1A. 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).
2A. 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).
3M. Chand, M. Paitandi, M. K. Gupta, 'Qualitative Sign Stability of a Matrix Pair' Acta Polytechnica, 63(3), pp. 171–178, 2023.
4L. 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
5J. 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
6L. 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
7M.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

Conferences (International)

1A. Kumar, M. Paitandi, M. K. Gupta. Analysis of Impulsive Modes in Kronecker Canonical Form for Rectangular Descriptor Systems, Indian Control Conference, IIT Madras 2022
2L. 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
3M.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,

Academic Honors & Awards

  • UGC-JRF in Mathematical Science with All India Rank-90, June-2011.
  • CSIR-JRF in Mathematical Science with All India Rank-33, June-2013.
  • GATE-2013 Mathematics with All India Rank 6.

Research Scholar

  1. Abhinav Kumar (Thesis submitted, Admitted in 2019)
  2. Meenakshi Tripathi (Admitted in 2020)
  3. Mamoni Paitandi (Admitted in 2020)
        1. Sweta Kumari (Admitted in Jan 2024)

Professional Experience

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