Pre-loader

Mousumi Mukherjee

About


Mousumi Mukherjee received her Bachelor of Technology (B.Tech.) degree in Electrical Engineering from West Bengal University of Technology in 2012. She received her Master of Engineering (M.E.) degree with Control System specialization from the Department of Electrical Engineering of Indian Institute of Engineering Science and Technology, Shibpur, West Bengal in 2014. She completed her Ph.D. from the Control and Computing group of the Electrical Engineering Department of Indian Institute of Technology Bombay in 2020. From April 2021 to March 2023, she was a postdoctoral researcher in the Chair for Mechatronics, Mechanical Engineering and Process Engineering Department at Technical University of Kaiserslautern, Germany. Prior to joining IIEST, Shibpur, she was associated with the Control and Optimization group of the Electrical Engineering Department of Indian Institute of Technology Madras first as a postdoctoral researcher and then as a DST-INSPIRE Faculty. Her broad area of research is systems and control theory.

Academic Qualifications


Post-doc at Chair for Mechatronics, Technische Universität Kaiserslautern, Germany, April 2021 -- March 2023.

Ph.D. in Electrical Engineering, IIT Bombay, 2014 -- 2020. Recipient of Excellence in PhD Research Award.

M.E. in Electrical Engineering, IIEST, Shibpur, 2012 -- 2014. Recipient of University Silver medal for first rank in EE.

B.Tech. in Electrical Engineering, WBUT, 2008 -- 2012. Recipient of University Gold medal for overall first rank in EE.

 

 

Research Statement


My research interests lie in the broad area of mathematical systems theory and control theory.

My Ph.D. work was on characterizing initial data for systems of partial differential and difference equations (pdes). The primary contributions were in providing an algebraic characterization of initial data required to solve linear systems of pdes, addressing the issue of minimal initial data and eventually using the initial data to explicitly solve the system of pdes, algorithmically. The theoretical aspect of the work relied on mathematical tools from linear algebra and commutative algebra. For the computational part, algorithms were given using tools from computational commutative algebra; in particular, the theory of Groebner basis was used.

During my postdoc, I started exploring the topic of abstraction of dynamical systems. In particular, formulating a notion of bisimulation for systems of partial differential and difference equations, which is still largely open, was the main objective. I also worked on data-driven control of dynamical systems.

 

 

Latest Publications


  • 1 Mousumi Mukherjee and Debasattam Pal, On constructing boundaries for boundary value problems: the general case, Multidimensional Systems and Signal Processing, Springer Nature, 2023
  • 2 Mousumi Mukherjee, Naim Bajcinca, and Debasattam Pal, Algorithms for specifying initial data for discrete autonomous nD systems, 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Bayreuth, Germany, 2022
  • 3 Mousumi Mukherjee and Naim Bajcinca, Bisimulation of strongly autonomous n-D systems, European Control Conference (ECC), London, UK, 2022
  • 4 Mousumi Mukherjee and Debasattam Pal, On arbitrary assignability of initial conditions for a discrete autonomous n-D system, IEEE Transactions on Automatic Control, 2022
  • 5 Mousumi Mukherjee and Debasattam Pal, On minimality of initial data required to uniquely characterize every trajectory in a discrete n-D system, 59(2), 1520-1554, SIAM Journal on Control and Optimization, 2021
  • 6 Mousumi Mukherjee and Debasattam Pal, On constructing boundaries for boundary value problems defined by continuous 2-D autonomous systems, 21st IFAC World Congress (IFAC WC), Berlin, Germany, 2020
  • 7 Mousumi Mukherjee and Debasattam Pal, On arbitrary assignability of initial conditions for an overdetermined system of partial difference equations, European Control Conference (ECC), Saint Petersburg, Russia, 2020
  • 8 Mousumi Mukherjee and Debasattam Pal, Computation of solutions for an overdetermined system of partial difference equations, Sixth Indian Control Conference (ICC), IIT Hyderabad, India, 2019
  • 9 Mousumi Mukherjee and Debasattam Pal, On characteristic cones of discrete nD autonomous systems: theory and an algorithm, 30(2), 611-640, Multidimensional Systems and Signal Processing, 2019
  • 10 Mousumi Mukherjee and Debasattam Pal, Algorithms for verification of characteristic sets of discrete autonomous nD systems with n>=2, 20th IFAC World Congress (IFAC WC), Toulouse, France, 2017
  • View More

    Research Areas


    • Mathematical systems theory
    • Multidimensional (nD) systems
    • Computational commutative algebra
    • Data-driven control

    Publications


  • 1 Mousumi Mukherjee and Debasattam Pal, On constructing boundaries for boundary value problems: the general case, Multidimensional Systems and Signal Processing, Springer Nature, 2023
  • 2 Mousumi Mukherjee and Debasattam Pal, On arbitrary assignability of initial conditions for a discrete autonomous n-D system, IEEE Transactions on Automatic Control, 2022
  • 3 Mousumi Mukherjee and Debasattam Pal, On minimality of initial data required to uniquely characterize every trajectory in a discrete n-D system, 59(2), 1520-1554, SIAM Journal on Control and Optimization, 2021
  • 4 Mousumi Mukherjee and Debasattam Pal, On characteristic cones of discrete nD autonomous systems: theory and an algorithm, 30(2), 611-640, Multidimensional Systems and Signal Processing, 2019
  • 1 Mousumi Mukherjee, Naim Bajcinca, and Debasattam Pal, Algorithms for specifying initial data for discrete autonomous nD systems, 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Bayreuth, Germany, 2022
  • 2 Mousumi Mukherjee and Naim Bajcinca, Bisimulation of strongly autonomous n-D systems, European Control Conference (ECC), London, UK, 2022
  • 3 Mousumi Mukherjee and Debasattam Pal, On constructing boundaries for boundary value problems defined by continuous 2-D autonomous systems, 21st IFAC World Congress (IFAC WC), Berlin, Germany, 2020
  • 4 Mousumi Mukherjee and Debasattam Pal, On arbitrary assignability of initial conditions for an overdetermined system of partial difference equations, European Control Conference (ECC), Saint Petersburg, Russia, 2020
  • 5 Mousumi Mukherjee and Debasattam Pal, Computation of solutions for an overdetermined system of partial difference equations, Sixth Indian Control Conference (ICC), IIT Hyderabad, India, 2019
  • 6 Mousumi Mukherjee and Debasattam Pal, Algorithms for verification of characteristic sets of discrete autonomous nD systems with n>=2, 20th IFAC World Congress (IFAC WC), Toulouse, France, 2017
  • 7 Mousumi Mukherjee and Debasattam Pal, On characteristic cones of scalar autonomous nD systems, for general n, 22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS), Minneapolis, USA, 2016
  • Patents


    # Patents Year

    Projects


    • DST-INSPIRE Faculty Award Research Grant, Sponsored
      Ongoing

    Awards


    • DST-INSPIRE Faculty Award, Year: 2022
    • Naik and Rastogi Award for Excellence in PhD Research from IIT Bombay, Year: 2021
    • University Silver medal for first rank in Electrical Engineering Department in M.E. from IIEST, Shibpur, Year: 2014
    • University Gold medal for securing the overall first position in Electrical Engineering from West Bengal University of Technology in B.Tech., Year: 2012

    Created: 23 November 2019