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

- Phone (O): +91-22-2576-7424
- Phone (R): +91-22-2576-8424
- E-Mail: hp[AT]ee.iitb.ac.in
- Homepage

List of Publications

Journal Papers

- Chirayu D. Athalye, Debasattam Pal,
**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] - Debasattam Pal,
**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,
**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,
**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,
**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,
**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**, 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.P. Pillai, M.N. Belur, "Computing the radius of controllability for state space systems", Systems & Control Letters, vol. 61, pp. 327-333, Jan. 2012.
- Srinivasan Krishnaswamy,
**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. , Bandyopadhyay S., "Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map", Chaos, vol. 22, no. 3, 2012.
- Priyadarshan H., 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,
**Harish K. Pillai**, "Lyapunov stability ofn-D strongly autonomous systems", International Journal of Control, vol. 84, no. 11, pp. 1759-1768, Nov. 2011. [DOI] - Pal D., 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, 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., 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., 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., 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,
**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., 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**, 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., 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**, S. Bandhyopadhyay, "A rigorous targeting algorithm for resource allocation networks", Chemical Engineering Science, vol. 62, pp. 6212-6221, 2007.- Pendharkar I., 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, 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, 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., Pillai H. K., "Process water management", Industrial and Engineering Chemistry Research, vol. 45, no. 15, pp. 5287-5297, 2006.
- Pendharkar I., 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., 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., Narayanan H., "On duality of behavioural systems", Multidimensional Systems and Signal Processing, , vol. 13, no. 4, pp. 357-383, 2002.
- H. Pillai, J. Wood, E. Rogers, "On Homomorphisms of nD behaviours", IEEE Transactions on Circuits and Systems, vol. 49, no. 6, pp. 732 - 742, 2002.
- Pillai H. K., 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

- Chirayu D. Athalye, Debasattam Pal,
**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, Harish Pillai, "On State Feedback in Linear Modular Systems" in MTNS, Dec. 2012.
- Debasattam Pal,
**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, Eric Berthelot, "Adaptive Control of the Boost Converter in Discontinuous Conduction Mode" in 18th IFAC World Congress, Dec. 2011.
- Swanand Khare, Harish Pillai, Madhu Belur, "Real Radius of Controllability for the Systems Described by Polynomial Matrices" in MTNS, Dec. 2010.
- Arunkumar R. Patil, Harish Pillai, "On the weight hierarchy of certain Grassmann codes" in MTNS, Dec. 2010.
- Srinivasan Krishnaswamy, Harish Pillai, "On the Number of LFSRs with a Special Structure" in MTNS, Dec. 2010.
- S. Khare, H.K. Pillai, 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, Madhu Belur, "Numerical Algorithm for Structured Low Rank Approximation Problem" in MTNS, Dec. 2010.
- Khare S.R. And Pillai H.K., 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, Madhu Belur, "Algorithm to Compute Minimal Nullspace Basis of a Polynomial Matrix" in MTNS, Dec. 2010.
- Priyadarshan H., 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, 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., 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, H.K. Pillai, "New results in optimal quadratic supply rates" in Proceedings in the IEEE CDC, IEEE , Dec. 2008.
- H. Priyadarshanam, Madhu Belur, Harish Pillai, "Generalizations of Well-posedness results for Linear Complementarity Systems and Piecewise Continuous Systems" in NSC07, Dec. 2007.
- H. Priyadarshan, P. Chinna Ayyanna,
**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, Harish Pillai, "Robust Stability of Interconnections" in MTNS, Dec. 2006.
- Nirmesh Mehta, Harish Pillai, "A search for positive storage functions" in MTNS, Dec. 2006.
- Willems J. C., 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., 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, 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., 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., 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., Willems J. C., "Dissipative distributed systems" in Proceedings of the IEEE Conference on Decision and Control, pp.2500-2503, Dec. 2000.