Adaptive Systems

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  • Marco Campi and P. R. Kumar, “Adaptive Linear Quadratic Gaussian Control: The Cost-Biased Approach Revisited,” SIAM Journal on Control and Optimization, vol. 36, no. 6, pp. 1890-1907, Nov. 1998.
  • Sanjeev M. Naik and P. R. Kumar, “Robust Indirect Adaptive Control of Time-Varying Plants with Unmodeled Dynamics and Disturbances,” SIAM Journal on Control and Optimization, vol. 32, no. 5, pp. 1696-1725, Nov. 1994.
  • Wei Ren and P. R. Kumar, “Stochastic Adaptive Prediction and Model Reference Control,” IEEE Transactions on Automatic Control, vol. 39, no. 10, pp. 2047-2060, Oct. 1994.
  • Sanjeev M. Naik and P. R. Kumar, “Stability of adaptively controlled systems using parameter projection.” Control – Theory and Advanced Technology, vol. 9, no. 1, Special Issue on “Identification and Adaptive Control – Continuous Time Approaches”, pp. 191-201, March 1993.
  • Wei Ren and P. R. Kumar, “Recent Results on Least Squares Based Adaptive Control of Linear Stochastic Systems in White Noise,” Sadhana, pp. 397-404, vol. 15, nos. 4 & 5, December 1990.
  • T. Basar and P. R. Kumar, “On Worst Case Design Strategies,” Computers and Mathematics with Applications: Special Issue on Pursuit-Evasion Differential Games, vol. 13, no. 1-3, pp. 239-245, 1987. worst_case_1_87.pdf
  • P. R. Kumar, “Review of “Theory and Practice of Recursive Identification” by L. Ljung and T. Soderstrom,” IEEE Transactions on Automatic Control., vol. AC-30, no. 10, pp. 1054-1056, 1985.
  • P. R. Kumar and T. I. Seidman, “Stability in the Sense of Bounded Average Power,” IMA Journal of Mathematical Control and Information, vol. 2, pp. 109-122, 1985.
  • W. Lin, P. R. Kumar, and T. I. Seidman, “Will the Self-Tuning Approach Work for General Cost Criteria?,” Systems and Control Letters, vol. 6, no. 2, pp. 77-85, July 1985.
  • U. Shaked and P. R. Kumar, “Minimum Variance Control of Discrete Time Multivariable ARMAX Systems,” SIAM Journal on Control and Optimization. vol. 24, no. 3, pp. 396-411, May 1986.
  • A. Becker, P. R. Kumar, and C. Z. Wei, “Adaptive Control with the Stochastic Approximation Algorithm: Geometry and Convergence,” IEEE Transactions on Automatic Control, vol. AC-30, no. 4, pp. 330-338, April 1985.
  • P. R. Kumar, “Optimal Adaptive Control of Stochastic Systems,” Ricerche di Automatica, pp. 1-5, vol. XIII, no. 1, October 1982.
  • P. R. Kumar, “Simultaneous Identification and Adaptive Control of Unknown Systems Over Finite Parameter Sets,” IEEE Transactions on Automatic Control, vol. AC-28, no. 1, pp. 68-76, January 1983.
  • P. R. Kumar, “Optimal Adaptive Control of Linear Quadratic Gaussian Systems,” SIAM Journal on Control and Optimization, pp. 163-178, March 1983.
  • P. R. Kumar and W. Lin, “Optimal Adaptive Controllers for Unknown Markov Chains,” IEEE Transactions on Automatic Control, vol. AC-27, pp. 765-774, August 1982.
  • P. R. Kumar and J. H. van Schuppen, “On the Optimal Control of Stochastic Systems with an Exponential of Integral Performance Index,” Journal of Mathematical Analysis and Applications, vol. 80, pp. 312-332, April 1982.
  • P. R. Kumar and A. Becker, “A New Family of Optimal Adaptive Controllers for Markov Chains,” IEEE Transactions on Automatic Control, vol. AC-27, pp. 137-146, February 1982.
  • P. R. Kumar, “Adaptive Control with a Compact Parameter Set,” SIAM Journal on Control and Optimization, vol. 20, pp. 9-13, January 1982.
  • P. R. Kumar and T.I. Seidman, “On the Optimal Solution of the One-Armed Bandit Adaptive Control Problem,” IEEE Transactions on Automatic Control, vol. AC-26, pp. 1176-1184, October 1981.
  • P. R. Kumar and T. H. Shiau, “Existence of Value and Randomized Strategies in Zero-Sum Discrete-Time Stochastic Dynamic Games,” SIAM Journal on Control and Optimization, vol. 19, pp. 617-634, September 1981.
  • P. R. Kumar and J. H. van Schuppen, “On Nash Equilibrium Solutions in Stochastic Dynamic Games,” IEEE Transactions on Automatic Control, vol. AC-25, pp. 1146-1149, December 1980.
  • P. R. Kumar, “Optimal Mixed Strategies in a Dynamic Game,” IEEE Transactions on Automatic Control, vol. AC-25, pp. 743-749, August 1980.
  • P. R. Kumar, “A Differential Game with Jump Process Observations,” Journal of Optimization Theory and Applications, vol. 31, pp. 219-231, June 1980.
  • S. D. Personick, P. Balaban, J. H. Bobsin, and P. R. Kumar, “A Detailed Comparison of Four Approaches to the Calculation of the Sensitivity of Optical Fiber System Receivers,” IEEE Transactions on Communications, pp. 541-578, May 1977.
  • M. Campi and P. R. Kumar, “Learning Functional Relationships in High Dimensions: An Assessment of Perceptrons, Neural Networks, and Other Methodologies,” in The Astrom Symposium on Control, Edited by B. Wittenmark and A. Rantzer, pp.~169-198, Studentlitteratur, Lund, Sweden, 1999. ISBN 91-44-01245-4
  • W. Ren and P. R. Kumar, “The Convergence of Self-tuning Feedback Control for Linear Stochastic Systems,” pp. 383-397, in Stochastic Theory and Adaptive Control, T. E. Duncan and B. Pasik Duncan (Eds.), Lecture Notes in Control and Informational Sciences, Springer-Verlag, New York, 1992.
  • S. M. Naik and P. R. Kumar, “Extended Least Squares Based Adaptive Control: Robustness Analysis,” pp. 346-360, in Stochastic Theory and Adaptive Control, T. E. Duncan and B. Pasik Duncan (Eds.), Lecture Notes in Control and Informational Sciences, Springer-Verlag, New York, 1992.
  • P. R. Kumar, “Convergence of Adaptive Control Schemes Using Least-Squares Parameter Estimates,” pp. 207-215, in Advances in Adaptive Control, Edited by K. S. Narendra, R. Ortega, and P. Dorato. IEEE Press, 1991. (Also see [64]).
  • S. F. Lin and P. R. Kumar, “Parameter Convergence in the Stochastic Gradient Adaptive Control Law,” pp. 203-204, in Advances in Adaptive Control, Edited by K. S. Narendra, R. Ortega, and P. Dorato. IEEE Press, 1991. (Also see [60]).
  • Sanjeev M. Naik, P. R. Kumar, and B. Erik Ydstie, “Robust Continuous-Time Adaptive Control by Parameter Projection,” Foundations of Adaptive Control, vol. 160, Lecture Notes in Control and Information Sciences, pp. 153-200, P. V. Kokotovic (Ed), Springer-Verlag, New York, 1991.
  • Wei Ren and P. R. Kumar, “Stochastic Adaptive System Theory: Recent Advances and a Reappraisal,” Foundations of Adaptive Control, Lecture Notes in Control and Information Sciences, vol. 160, pp. 269-307, P. V. Kokotovic, Editor, Springer-Verlag, New York, 1991.
  • Wei Ren and P. R. Kumar, “The Convergence of Output Error Recursions in Infinite Order Moving Average Noise,” in New Directions in Time Series Analysis, Part II, edited by Peter Caines, John Geweke and Murad Taqqu, Vol. 46, IMA Volumes in Mathematics and its Applications, pp. 315-324, Springer-Verlag, N.Y. 1992.
  • P. R. Kumar, “Performance and Robustness in Adaptive Control of Linear Stochastic Systems,” in Stochastic Differential Systems, vol. 126, Springer-Verlag Lecture Notes in Control and Information Sciences, pp. 183-195, Proceedings of the Fourth Bad Honnef Conference, June 20-24, 1988, N. Christopeit, K. Helmes, M. Kohlmann, Editors, Springer-Verlag, Heidelberg, W. Germany, 1989.
  • P. R. Kumar, “Recent Advances in the Theory of Stochastic Adaptive Control,” in Stochastic Differential Systems, Stochastic Control Theory and Applications, vol. 10, IMA Volumes in Mathematics and its Applications, pp. 241-254, W. Fleming and P. L. Lions, Editors, Springer-Verlag, 1988.
  • P. R. Kumar, “Identification and Adaptive Control of Linear Stochastic Systems,” in Adaptive and Learning Systems: Theory and Applications, Editor K. S. Narendra, pp. 87-103, Plenum Press, New York, 1986.
  • P. R. Kumar, “Optimal Adaptive Control of Markovian Systems,” in Geometry and Identification: Proceedings of the APSM Conference on System Geometry, System Identification and Parameter Estimation, pp. 129-132, Editors P. E. Caines and R. Hermann, Math. Science Press, Brookline, Mass., 1983.
  • W. Lin and P. R. Kumar, “Stochastic Control of a Queue with Two Servers of Different Rates,” in Analysis and Optimization of Systems, edited by A. Bensoussan and J. L. Lions, Lecture Notes in Control and Information Sciences, vol. 44, Springer-Verlag 1982.
  • P. R. Kumar and T. H. Shiau, “Zero Sum Dynamic Games,” in Control and Dynamic Games, C. T. Leondes, Editor, pp. 1345-378, Academic Press, 1981.
  • Sanjeev M. Naik, P. R. Kumar, and B. Erik Ydstie, “Robust Continuous Time Adaptive Control by Parameter Projection,” IEEE Transactions on Automatic Control, vol. 37, no. 2, pp. 182-197, Feb. 1992.
  • Wei Ren and P. R. Kumar, “Stochastic Parallel Model Adaptation: Theory and Applications to Active Noise Cancellation, Feedforward Control, IIR Filtering and Identification,” IEEE Transactions on Automatic Control, vol. 37, no. 5, pp. 566-578, May 1992.
  • R. D. Ellis, R. Ravikanth, and P. R. Kumar, “Automating the Simulation of Complex Discrete Time Control Systems: A Mathematical Framework, Algorithms, and a Software Package,” IEEE Transactions on Automatic Control, pp. 1795-1801, vol. 39, no. 9, Sep. 1994.
  • H-F. Chen, P. R. Kumar, and J. H. van Schuppen, “On Kalman Filtering for Conditionally Gaussian Systems With Random Matrices,” Systems and Control Letters, vol. 13, no. 5, pp. 397-404, Dec. 1989.
  • P. R. Kumar, “Convergence of Adaptive Control Schemes Using Least-Squares Parameter Estimates,” IEEE Transactions on Automatic Control, vol. 35, no. 5, pp. 416-424, Apr. 1990.
  • L. Praly, S-F. Lin,and P. R. Kumar, “A Robust Adaptive Minimum Variance Controller,” SIAM Journal on Control and Optimization, vol. 27, no. 2, pp. 235-266, Mar. 1989.
  • P. R. Kumar and L. Praly, “Self Tuning Trackers,” SIAM Journal on Control and Optimization, vol. 25, no. 4, pp. 1053-1071, July 1987.
  • P. R. Kumar, “A Survey of Some Results in Stochastic Adaptive Control,” SIAM Journal on Control and Optimization, vol. 23, no. 3, May 1985, pp. 329-380.