List of 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.