Faculty · Department of Electrical Engineering

Harish K. Pillai

Head of the Department

Harish K. Pillai

Contact

Email:
hp@ee.iitb.ac.in

Office:
+91-22-2576-7424

Residence:
+91-22-2576-8424

Address:
Department of Electrical Engineering IIT Bombay, Powai Mumbai 400 076, India

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Research Interests

Control theory Systems theory Multidimensional systems Numerical and computational methods Coding theory Optimization techniques Electromagnetics

Qualifications

  • • B. Tech in Electrical Engg from IIT Kharagpur, 1990
  • • M. Tech in Systems and Control from IIT Bombay, 1993
  • • PhD in Electrical Engg from IIT Bombay, 1997
  • • Postdoc at IWI, University of Groningen, The Netherlands, 1998-99
  • • Postdoc at University of Southampton, UK, 1999-2001

Work Experience

  • • Postdoc at IWI, University of Groningen, The Netherlands, 1998-99
  • • Postdoc at University of Southampton, UK, 1999-2001
  • • Assistant Professor, Dept of Electrical Engg, IIT Bombay, 2001-2005
  • • Associate Professor, Dept of Electrical Engg, IIT Bombay, 2005-2009
  • • Professor, Dept of Electrical Engg, IIT Bombay, 2009 – present

Publications

Journal Papers ▼
  • Rajanikant Metri, Bhooshan Rajpathak, and Harish Pillai, "Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps" , Nonlinear Dynamics, vol. 111, no. 10, pp. 9395-9408, 2023. [ DOI ]
  • Keyur Mistry and Harish K Pillai, "A study of third order bimodal switched system" , IFAC-PapersOnLine, vol. 54, no. 9, pp. 7-13, 2021.
  • Chirayu D Athalye, Debasattam Pal, and Harish K Pillai, "Comparison between different notions of stability for Laurent systems" , IEEE Transactions on Automatic Control, vol. 66, no. 2, pp. 768-772, 2020.
  • Chirayu D Athalye, Debasattam Pal, and Harish K Pillai, "Behavior of n Infinite Chains of Kinematic Points With the Immediate-Neighbors Interaction Dynamics" , IEEE Transactions on Automatic Control, vol. 65, no. 7, pp. 2929-2940, 2019.
  • Chinmay Rajhans, Devin W Griffith, Sachin C Patwardhan, Lorenz T Biegler, and Harish K Pillai, "Terminal region characterization and stability analysis of discrete time quasi-infinite horizon nonlinear model predictive control" , Journal of Process Control, vol. 83, pp. 30-52, 2019.
  • Papri Dey and Harish K Pillai, "A complete characterization of determinantal quadratic polynomials " , Linear Algebra and its Applications, vol. 543, pp. 106-124, 2018.
  • Chirayu D. Athalye, Debasattam Pal, and Harish K. Pillai , "l2-stability: The cases of infinite dimensional discrete autonomous systems and 2-D autonomous systems" , Automatica, vol. 84, pp. 70-78, Oct. 2017. [ DOI ]
  • Chinmay Rajhans, Sachin C Patwardhan, and Harish Pillai, "Discrete time formulation of quasi infinite horizon nonlinear model predictive control scheme with guaranteed stability" , IFAC-PapersOnLine, vol. 50, no. 1, pp. 7181-7186, 2017.
  • A Sanand Amita Dilip, Harish K Pillai, and Raphaël M Jungers, "On discrete algebraic Riccati equations: A rank characterization of solutions" , Linear Algebra and its Applications, vol. 527, pp. 184-215, 2017.
  • Debasattam Pal and Harish K. Pillai , "Multidimensional behaviors: The state-space paradigm" , Systems & Control Letters, vol. 95, pp. 27-34, Sep. 2016. [ DOI ]
  • Chirayu D. Athalye, Debasattam Pal, and Harish K. Pillai , "l∞-stability analysis of discrete autonomous systems described by Laurent polynomial matrix operators" , Systems & Control Letters, vol. 93, pp. 13-20, Jul. 2016. [ DOI ]
  • Debasattam Pal and Harish K. Pillai , "Algorithms for the theory of restrictions of scalar n -D systems to proper subspaces of R n " , Multidimensional Systems and Signal Processing, vol. 26, pp. 439-457, Mar. 2014. [ DOI ]
  • Debasattam Pal and Harish K. Pillai , "Representation Formulae for Discrete 2D Autonomous Systems" , SIAM Journal on Control and Optimization, vol. 51, no. 3, pp. 2406-2441, Jan. 2013. [ DOI ]
  • Debasattam Pal and Harish K. Pillai , "On restrictions of n-D systems to 1-D subspaces" , Multidimensional Systems and Signal Processing, vol. 25, pp. 115-144, Jun. 2012. [ DOI ]
  • Swanand R. Khare, Harish K. Pillai , and Madhu N. Belur, "Computing the radius of controllability for state space systems" , Systems and Control Letters, vol. 61, no. 2, pp. 327-333, Feb. 2012.
  • S.R. Khare, H.K. Pillai, and M.N. Belur, "Computing the radius of controllability for state space systems" , Systems & Control Letters, vol. 61, pp. 327-333, Jan. 2012.
  • Srinivasan Krishnaswamy and Harish K. Pillai , "On the number of Linear Feedback Shift Registerswith a special structure" , IEEE Transactions on Information Theory , vol. 58, no. 3, pp. 1783-1790, 2012.
  • Rajpathak B., Pillai H. K. , and Bandyopadhyay S., "Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map" , Chaos, vol. 22, no. 3, 2012.
  • Priyadarshan H. and Pillai H.K., "On "p" property and the column-W property" , Linear Algebra and Its Applications, vol. 436, no. 7, pp. 1969-1989, 2012.
  • Debasattam Pal and Harish K. Pillai , "Lyapunov stability of n-D strongly autonomous systems" , International Journal of Control, vol. 84, no. 11, pp. 1759-1768, Nov. 2011. [ DOI ]
  • Pal D. and Pillai H.K., "Lyapunov stability of n-D strongly autonomous systems" , International Journal of Control, vol. 84, no. 11, pp. 1759-1768, 2011.
  • I. Pendharkar and Harish K. Pilla, "Application of Quadratic Di erential Forms to designing linear controllers for nonlinearities" , Asian Journal of Control, vol. 13, no. 3, 2011.
  • Pendharkar I. and Pillai H. K., "A parametrisation for dissipative behaviours – the matrix case" , International Journal of Control, vol. 82, no. 6, pp. 1006-1017, 2009.
  • Ghorpade S. R., Patil A. R., and Pillai H. K., "Decomposable subspaces, linear sections of Grassmann varieties and higher weights of Grassmann codes" , Finite Fields and Applications, vol. 15, no. 1, pp. 54-68, 2009.
  • Pendharkar I. and Pillai H. K., "Systems with sector bound nonlinearities: A behavioral approach" , Systems and Control Letters, vol. 57, no. 2, pp. 112-122, 2008.
  • Nirmesh Mehta and Harish K. Pillai , "A search for positive storage functions" , Systems and Control Letters , vol. 57, no. 10, pp. 836-841, 2008.
  • Bian W., French M., and Pillai H. K., "An intrinsic behavioral approach to the gap metric" , SIAM Journal on Control and Optimization, vol. 47, no. 4, pp. 1939-1960, 2008.
  • Madhu N. Belur, Harish K. Pillai , and Harry L. Trentelman, "Weighted H-inf control: a behavioralapproach" , Linear Algebra and Applications , vol. 425, pp. 739-756, 2007.
  • Belur M. N., Pillai H. K., and Trentelman H. L., "Dissipative systems synthesis: A linear algebraic approach" , Linear Algebra and Its Applications, vol. 425, no. 2 to 3, pp. 739-756, 2007.
  • Harish K. Pillai and S. Bandhyopadhyay, "A rigorous targeting algorithm for resource allocation networks" , Chemical Engineering Science, vol. 62, pp. 6212-6221, 2007.
  • Pendharkar I. and Pillai H. K., "Kalman-Yakubovich lemma in the behavioural setting" , International Journal of Control, vol. 79, no. 4, pp. 327-337, 2006.
  • P. Zaris, J. Wood, and H. Pillai, "Poles and zeros examples of the behavioural approach applied to discrete linear repetitive processes" , Multidimensional Systems and Signal Processing, vol. 17, no. 2 to 3, pp. 107-118, 2006.
  • P. Zaris, J. Wood, H. Pillai, and E. Rogers, "On Invariant Zeros of Linear Systems of PDEs" , Linear Algebra and Its Applications, vol. 417, pp. 275-297, 2006.
  • Bandyopadhyay S., Ghanekar M. D., and Pillai H. K., "Process water management" , Industrial and Engineering Chemistry Research, vol. 45, no. 15, pp. 5287-5297, 2006.
  • Pendharkar I. and Pillai H. K., "On dissipative SISO systems: A behavioral approach" , Proceedings of the IEEE Conference on Decision and Control, vol. 2, pp. 1616-1620, 2003.
  • Pillai H. K. and Willems J. C., "Lossless and dissipative distributed systems" , SIAM Journal of Control and Optimization , vol. 40, no. 5, pp. 1406-1430, 2002.
  • Pillai H. K. and Narayanan H., "On duality of behavioural systems" , Multidimensional Systems and Signal Processing, , vol. 13, no. 4, pp. 357-383, 2002.
  • Harish K Pillai and Jan C Willems, "Lossless and dissipative distributed systems" , SIAM Journal on Control and Optimization, vol. 40, no. 5, pp. 1406-1430, 2002.
  • H. Pillai, J. Wood, and E. Rogers, "On Homomorphisms of nD behaviours" , IEEE Transactions on Circuits and Systems, vol. 49, no. 6, pp. 732 - 742, 2002.
  • Harish K. Pillai and Shiva Shankar, "A behavioural approach to control of distributed systems" , SIAM Journal on Control and Optimisation , vol. 37, no. 2, pp. 388-408, 1999.
  • Pillai H. K. and Shankar S., "Behavioral approach to control of distributed systems" , SIAM Journal of Control and Optimization , vol. 37, no. 2, pp. 388-408, 1998.
Conference Papers / Book Chapters ▼
  • Atharva Sathe, Nikitabahen Makwana, Avijit Chatterjee, and Harish Pillai, "FVTD large time-step method using Radon Transform" in IEEE International Conference on Computational Electromagnetics (ICCEM) , pp.81-82, Dec. 2020.
  • Megha Kolhekar and Harish K Pillai, "Permutation Polynomial Representatives and their Matrices" in 2018 Twenty Fourth National Conference on Communications (NCC) , IEEE, pp.1-6, Dec. 2018.
  • Chirayu D. Athalye, Debasattam Pal, and Harish K. Pillai , "Stability analysis of discrete 2-D autonomous systems" in 2015 54th IEEE Conference on Decision and Control (CDC) , IEEE, Dec. 2015. [ DOI ]
  • Srinivasan Krishnaswamy and Harish Pillai, "On State Feedback in Linear Modular Systems" in MTNS , Dec. 2012.
  • Debasattam Pal and Harish K. Pillai , "On restrictions of n-D systems to 1-D subspaces" in NDS , Dec. 2011.
  • Aya Alawieh, Romeo Ortega, Harish Pillai, Alessandro Astolfi, and Eric Berthelot, "Adaptive Control of the Boost Converter in Discontinuous Conduction Mode" in 18th IFAC World Congress , Dec. 2011.
  • Swanand Khare, Harish Pillai, and Madhu Belur, "Real Radius of Controllability for the Systems Described by Polynomial Matrices" in MTNS , Dec. 2010.
  • Arunkumar R. Patil and Harish Pillai, "On the weight hierarchy of certain Grassmann codes" in MTNS , Dec. 2010.
  • Srinivasan Krishnaswamy and Harish Pillai, "On the Number of LFSRs with a Special Structure" in MTNS , Dec. 2010.
  • S. Khare, H.K. Pillai, and M.N. Belur, "Numerical algorithm for structural low rank approximation problem" in Proceedings of the Mathematical Theory of Networks and Systems (MTNS) , Dec. 2010.
  • Swanand Khare, Harish Pillai, and Madhu Belur, "Numerical Algorithm for Structured Low Rank Approximation Problem" in MTNS , Dec. 2010.
  • Khare S.R. And Pillai H.K. and Belur M.N., "Computing approximate GCD of univariate polynomials" in 18th Mediterranean Conference on Control and Automation , pp.437-441, Dec. 2010.
  • Swanand Khare, Harish Pillai, and Madhu Belur, "Algorithm to Compute Minimal Nullspace Basis of a Polynomial Matrix" in MTNS , Dec. 2010.
  • Priyadarshan H. and Pillai H.K., "Reorienting linear complementarity systems using feedback" in Proceedings of the IEEE International Conference on Control Applications , pp. 1099-1104, Dec. 2009.
  • D. Pal, S. Sinha, M.N. Belur, and H.K. Pillai, "New results in dissipativity of uncontrollable systems and Lyapunov functions" in Proceedings in the IEEE CDC , Dec. 2009.
  • Pal D., Sinha S., Belur M. N., and Pillai H. K., "New results in optimal quadratic supply rates" in Proceedings of the IEEE Conference on Decision and Control , pp.4775-4780, Dec. 2008.
  • D. Pal, S. Sinha, M.N. Belur, and H.K. Pillai, "New results in optimal quadratic supply rates" in Proceedings in the IEEE CDC , IEEE , Dec. 2008.
  • H. Priyadarshanam, Madhu Belur, and Harish Pillai, "Generalizations of Well-posedness results for Linear Complementarity Systems and Piecewise Continuous Systems" in NSC07 , Dec. 2007.
  • H. Priyadarshan, P. Chinna Ayyanna, and Harish K. Pillai , "E ect of Feedback on Linear Complementarity Systems" in International Conference on Advances in Control and Optimization of Dynamical Systems , Dec. 2007.
  • M. French and Harish Pillai, "Robust Stability of Interconnections" in MTNS , Dec. 2006.
  • Nirmesh Mehta and Harish Pillai, "A search for positive storage functions" in MTNS , Dec. 2006.
  • Willems J. C. and Pillai H. K., "The sum-of-squares problem and dissipative systems" in Fourth International Workshop on Multidimensional Systems , pp.48-53, Dec. 2005.
  • Pendharkar I., Rapisarda P., and Pillai H. K., "Interpolation with bilinear differential forms" in Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference , pp.2893-2898, Dec. 2005.
  • M.N.Belur, H.K. Pillai, and H.L. Trentelman, "Dissipative systems synthesis: a linear algebraic approach" in Proceedings of the IEEE CDC-ECC conference , pp.161-166, Dec. 2005.
  • Belur M. N., Pillai H. K., and Trentelman H. L., "Dissipative systems synthesis: A linear algebraic approach" in Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference , pp.161-166, Dec. 2005.
  • Pendharkar I., Pillai H. K., and Rapisarda P., "A behavioral view of Nevanlinna-Pick interpolation" in Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference , pp.836-841, Dec. 2005.
  • Pillai H. K. and Willems J. C., "Dissipative distributed systems" in Proceedings of the IEEE Conference on Decision and Control , pp.2500-2503, Dec. 2000.