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Books and Monographs

• Feng Xue and P. R. Kumar, "Scaling Laws for Ad Hoc Wireless Networks: An Information Theoretic Approach," NOW Publishers, Delft, The Netherlands, 2006.
  (This printed and bound monograph is available at a 40% discount from Now Publishers by entering the promotional code NET001002 on their order form ).
  
  
• P. R. Kumar and P. Varaiya, Stochastic Systems: Estimation, Identification and Adaptive Control, Prentice Hall, Englewood Cliffs, N. J., 1986.

Preprints

• N. Freris, H. Kowshik and P. R. Kumar, ``Fundamentals of Large Sensor Networks: Connectivity, Capacity, Clocks and Computation." (http://arxiv.org/abs/0911.3357). Nov. 16, 2009.
  
  
• I-Hong Hou and P. R. Kumar, ``Utility Maximization for Delay Constrained QoS in Wireless." (http://arxiv.org/abs/0908.0362v1). July 31, 2009.
  
  
• I-Hong Hou and P. R. Kumar, ``Scheduling Heterogeneous Real-Time Traffic over Fading Wireless Channels." (http://arxiv.org/abs/0908.0587v1). July 31, 2009.
  
  

Selected Articles from Conferences

• Hemant Kowshik and P. R. Kumar, ``Optimal strategies for computing symmetric Boolean functions in collocated networks." To appear in Proceedings of the 2010 IEEE Information Theory Workshop, Cairo, January 6-8, 2010.
  
  
• Hemant Kowshik and P. R. Kumar, ``Zero-error Function Computation in Sensor Networks." To appear in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, December 16-18, 2009.
  
  
• I-Hong Hou and P. R. Kumar, "Admission Control and Scheduling for QoS Guarantees for Variable- Bit-Rate Applications on Wireless Channels." Proceedings of MobiHoc 2009, pp. 175-184, New Orleans, May 28-May 21, 2009.
  
  
• Vinod Prabhakaran and P. R. Kumar, "Communication by Sleeping: Optimizing a Relay Channel under Wake and Transmit Power Costs." To appear in Proceedings of 2009 IEEE International Symposium on Information Theory (ISIT 2009), Seoul, June 28-July 3, 2009.
  
  
• M. Anand and P. R. Kumar, "On approximating Gaussian relay networks by deterministic networks." Proceedings of the Information Theory Workshop (ITW), Taormina, Sicily, pp 625-629, October 11-16, 2009.
  
  
• I-Hong Hou, V. Borkar and P. R. Kumar, ``A Theory of QoS for Wireless." Proceedings of Infocom 2009, April 19-25, 2009, Rio de Janeiro, Brazil.
  
  
• Jerry Chiang, Jason Haas, Yih-Chun Hu, P. R. Kumar and Jihyuk Choi, ``Fundamental Limits on Secure Clock Synchronization and Detection of Man-in-the-Middle Attacks." Proceedings of Infocom 2009, April 19-25, 2009, Rio de Janeiro, Brazil.
  
  
• Zheng Zeng and P. R. Kumar, ``Towards Optimal Exploitation of Physical Layer Information in OFDM Wireless networks," Proceedings of the Fourth International Wireless Internet Conference (WICON 2008), Maui. Nov. 17-19, 2008.
  
  
• Kyoung-Dae Kim and P. R. Kumar, ``Architecture and Mechanism Design for Real-Time and Fault- Tolerant Etherware for Networked Control." Proceedings of the 17th World Congress, The International Federation of Automatic Control,pp. 9421-9426, Seoul, Korea, July 6-11, 2008.
  
  
• Hemant Kowshik, Derek Caveney and P. R. Kumar, ``Provable System wide Safety in Intelligent Intersections.`` Proceedings of the HSCC 2008: Hybrid Systems: Computation and Control,St. Louis, MO, April 22-24, 2008. pp. 301-315, in Magnus Egerstedt and Bud Mishra (Eds.), Lecture Notes in Computer Science 4981, Springer-Verlag, Berlin, 2008. Link to Springer-Verlag website and copyright notice.
  
  
• Vivek Raghunathan, Vivek Borkar, Min Cao and P. R. Kumar, ``Index policies for real-time multicast scheduling for wireless broadcast systems." Proceedings of 27th IEEE International Conference on Computer Communications (INFOCOM 2008), April 15-17, 2008, Phoenix, Arizona.
  
  
• Nikolaos M. Freris and P. R. Kumar, ``Fundamental Limits on Synchronization of Affine Clocks in Networks." Proceedings of the 46th IEEE Conference on Decision and Control, pp. 921-926, New Orleans, Dec. 12-14, 2007.
  
  
• Min Cao, Vivek Raghunathan and P. R. Kumar, ``Distributed Energy Aware Cross-Layer Resource Allocation in Wireless Networks." Proceedings of Wireless Internet Conference (WICON) 2007, Austin, Texas, October 22-24.
  
  
• Craig Robinson and P. R. Kumar, ``Sending the Most Recent Observation is not Optimal in Networked Control: Linear Temporal Coding and Towards the Design of a Control Specific Transport Protocol." Proceedings of the 46th IEEE Conference on Decision and Control, pp. 334-339, New Orleans, Dec. 12-14, 2007.
  
  
• Min Cao, Vivek Raghunathan and P. R. Kumar, ``Cross-Layer Exploitation of MAC Layer Diversity in Wireless Networks." Proceedings of ICNP06, The 14th IEEE International Conference on Network Protocols, November 12-15, 2006, Santa Barbara, CA.
  
  
• Min Cao, Vivek Raghunathan and P. R. Kumar, ``A Tractable Algorithm for Fair and Efficient Uplink Scheduling of Multi-hop WiMax Mesh Networks." Proceedings of WiMesh 2006: Second IEEE Workshop on Wireless Mesh Networks, pp. 101-108, Sep. 25, 2006, Reston, VA.
  
  
• Min Cao, Vivek Raghunathan and P. R. Kumar, ``Robust Floor Acquisition in the Presence of Multiple Fading Channels." Proceedings of the 40th Conference on Information Sciences and Systems, pp. 1108-1113, Princeton, March 22-24, 2006.
  
  
• Vikas Kawadia and P.~R.~Kumar, "Experimental Investigations into TCP Performance over Wireless Multihop Networks," SIGCOMM 2005 - Workshop on Experimental approaches to wireless network design and analysis (E-WIND-05) Philadelphia. August 22, 2005.
  
  
• Vivek Raghunathan and P. R. Kumar, "Issues in Wardrop Routing in Wireless Networks," Proceedings of WICON'05, First International Wireless Internet Conference, pp. 34-41, Budapest, Hungary, July 10-14, 2005.
  
  
• Arvind Giridhar and P. R. Kumar, ``Maximizing the Functional Lifetime of Sensor Networks." Proceedings of The Fourth International Conference on Information Processing in Sensor Networks, IPSN '05, April 25-27, 2005, UCLA, Los Angeles.
  
  
• Vivek Raghunathan and P. R. Kumar, "A Wardrop Routing Protocol for Ad Hoc Wireless Networks," Proceedings of the 43rd IEEE Conference on Decision and Control, Bahamas, pp. 4661-4666, Dec. 14-17, 2004.
  
  
• Scott Graham and P. R. Kumar, ``Time in general-purpose control systems: The Control Time Protocol and an experimental evaluation,'' Proceedings of the 43rd IEEE Conference on Decision and Control, pp. 4004-4009. Bahamas, Dec. 14-17, 2004
  
  
• Scott Graham, Girish Baliga and P. R. Kumar, ``Issues in the convergence of control with communication and computing: Proliferation, architecture, design, services, and middleware.'' Proceedings of the 43rd IEEE Conference on Decision and Control, pp. 1466-1471. Bahamas, Dec. 14-17, 2004.
  
  
• Arvind Giridhar and P. R. Kumar, "Distributed Clock Synchronization over Wireless Networks: Algorithms and Analysis," Proceedings of the 45th IEEE Conference on Decision and Control, pp. 4915-4920, San Diego, Dec. 13-15, 2006.
  
  
• Roberto Solis, Vivek Borkar and P. R. Kumar, "A New Distributed Time Synchronization Protocol for Multihop Wireless Networks." Proceedings of the 45th IEEE Conference on Decision and Control, pp. 2734-2739, San Diego, Dec. 13-15, 2006.
  
  
• Girish Baliga, Scott Graham, Carl Gunter and P. R. Kumar, "Reducing Risk by Managing Software Related Failures in Networked Control Systems," Proceedings of the 45th IEEE Conference on Decision and Control, pp. 2866-2871, San Diego, Dec. 13-15, 2006.
  
  
• Kurt Plarre, P. R. Kumar and T. I. Seidman, ``Increasingly correct message passing algorithms for heat source detection in sensor networks." Proceedings of the First IEEE International Conference on Sensor ad Ad Hoc Networks (SECON 2004), Oct 4-7, 2004, Santa Clara. June 20, 2004.
  
  
• Girish Baliga, Scott Graham, Lui Sha and P. R. Kumar, ``EtherWare: Domainware for wireless control networks," pp. 155-162, Proceedings of The 7th IEEE International Symposium on Object-oriented Real-time Distributed Computing, May 12-14, 2004, Vienna, Austria.
  
  
• Girish Baliga and P. R. Kumar, ``A Middleware Architecture for Federated Control Systems.'' Presented at Middleware 2003, Rio de Janeiro, Brazil, June 16-June 20, 2003. Published in IEEE Distributed Systems online, June 2003.
  
  
• Scott Graham and P. R. Kumar, ``The Convergence of Control, Communication, and Computation.'' pp.~458--475, Proceedings of PWC 2003: Personal Wireless Communication, Lecture Notes in Computer Science, Volume 2775 / 2003, Springer-Verlag, Heidelberg, 2003.
  
  
• Vikas Kawadia and P. R. Kumar, ``Power Control and Clustering in Ad Hoc Networks.'' INFOCOM 2003, San Francisco, March 30 - April 3, 2003.
  
  
• S. Narayanaswamy, V. Kawadia, R. S. Sreenivas, and P. R. Kumar, ``Power Control in Ad-Hoc Networks: Theory, Architecture, Algorithm and Implementation of the COMPOW Protocol.'' Proceedings of the European Wireless Conference - Next Generation Wireless Networks: Technologies, Protocols, Services and Applications, pp. 156-162, Florence, Italy, Feb. 25-28, 2002.
  
  
• V. Kawadia, S. Narayanaswamy, R. Rozovsky, R. S. Sreenivas, and P. R. Kumar, ``Protocols for Media Access Control and Power Control in Wireless Networks,'' Proceedings of the 40th IEEE Conference on Decision and Control, pp.~1935-1940, Orlando, FL, Dec.~4-7, 2001.
  
  
• R. Rozovsky and P. R. Kumar, ``SEEDEX: A MAC protocol for ad hoc networks.'' Proceedings of The ACM Symposium on Mobile Ad Hoc Networking & Computing, pp. 67-75, MobiHoc 2001, Long Beach, Oct 4-5, 2001. [pdf file: 410K], [ps file: 3.3 MBytes],
  
  
• P. Gupta and P. R. Kumar, ``A system and traffic dependent adaptive routing algorithm for ad hoc networks,'' Proceedings of the 36th IEEE Conference on Decision and Control, pp. 2375-2380, San Diego, Dec. 1997.
  
  

Articles in Journals

• Scott Graham, Girish Baliga and P. R. Kumar, ``Abstractions, Architecture, Mechanisms, and a Middleware for Networked Control," IEEE Transactions on Automatic Control, vol. 54, no. 7, pp. 1490-1503, July 2009.
  
  
• Vivek Raghunathan and P. R. Kumar, ``Wardrop routing in wireless networks." IEEE Transactions on Mobile Computing, volume 8, number 5, pp. 636--652, May 2009.
  
  
• C. L. Robinson, D. Caveney, L. Caminiti, G. Baliga, K. Laberteaux and P. R. Kumar, ``Efficient Message Composition and Coding for Cooperative Vehicular Safety Applications.'' IEEE Transactions on Vehicular Technology: Special issue on Vehicular Communications Networks, vol. 56, no. 6, pp. 3244-3255, November 2007.
  
  
• C. L. Robinson, H.-J. Schuetz, G. Baliga and P. R. Kumar, ``Architecture and Algorithm for a Laboratory Vehicle Collision Avoidance System." 2007 IEEE International Symposium on Intel ligent Control (ISIC2007), Singapore, October 1-3, 2007.
  
  
• Kurt Plarre and P. R. Kumar, “Tracking Objects with Networked Scattered Directional Sensors,” EURASIP Journal on Advances in Signal Processing: Special Issue on Cooperative Localization in Wireless Ad Hoc and Sensor Networks, vol. 2008, Article ID 360912, 10 pages, 2008. doi:10.1155/2008/360912
  
  
• Liang-Liang Xie and P. R. Kumar, ``Multisource, multidestination, multirelay wireless networks," IEEE Transactions on Information Theory, Special issue on Models, Theory and Codes for Relaying and Cooperation in Communication Networks, vol. 53, no. 10, pp. 3586-3595, October 2007.
  
  
• Arvind Giridhar and P. R. Kumar, ``Scheduling Traffic on a Network of Roads.'' IEEE Transactions on Vehicular Technology, Vol. 55, Issue 5, pp. 1467-1474, September 2006.
  
  
• Vivek Raghunathan and P. R. Kumar, "A Counterexample in Congestion Control of Wireless Networks," Performance Evaluation, Volume 64, Issue 5, pp. 399-418, June 2007.
  
  
• Arvind Giridhar and P. R. Kumar, "Towards a Theory of In-Network Computation in Wireless Sensor Networks." IEEE Communications Magazine, vol. 44, no. 4, pp. 98-107, April 2006.
  
  
• Feng Xue and P. R. Kumar, ``On the theta-coverage and connectivity of large random networks." Joint Special Issue of IEEE Transactions on Information Theory and IEEE/ACM Transactions on Networking on Networking and Information Theory, pp. 2289-2399, vol. 52, no. 6, June 2006.
  
  
• Liang-Liang Xie and P. R. Kumar, ``On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks." Joint Special Issue of IEEE Transactions on Information Theory and IEEE/ACM Transactions on Networking on Networking and Information Theory, pp. 2313-2328, vol. 52, no. 6, June 2006.
  
  
• Arvind Giridhar and P. R. Kumar, ``Computing and communicating functions over sensor networks." IEEE Journal on Selected Areas in Communications. pp. 755--764, vol. 23, no. 4, April 2005.
  
  
• Liang-Liang Xie and P. R. Kumar, ``An achievable rate for the multiple-level relay channel." IEEE Transactions on Information Theory." vol. 51, no. 4, pp. 1348-1358, April 2005.
  
  
• Feng Xue, Liang-Liang Xie and P. R. Kumar, ``The Transport Capacity of Wireless Networks over Fading Channels," IEEE Transactions on Information Theory, pp. 834-847, vol. 51, no. 3, March 2005.
  
  
• G. Baliga, S. Graham, L. Sha, and P. R. Kumar, "Service continuity in networked control using etherware." IEEE Distributed Systems Online, 15 pages, vol.~5, No.~8, September 2004. ISSN: 1541-4922.
  
  
• Ashish Agarwal and P. R. Kumar, ``Capacity bounds for ad-hoc and hybrid wireless networks.'' ACM SIGCOMM Computer Communications Review, Special Issue on Science of Networking Design, pp. 71-81, Vol. 34, No. 3, July 2004.
  
  
• Vikas Kawadia and P. R. Kumar, ``A Cautionary Perspective on Cross Layer Design.'' IEEE Wireless Communication Magazine. pp. 3-11, vol. 12, no. 1, February 2005.
  
  
• Vikas Kawadia and P. R. Kumar, ``Principles and Protocols for Power Control in Ad Hoc Networks.'' IEEE Journal on Selected Areas in Communications, pp. 76-88, vol. 23, no. 5, January 2005.
  
  
• Ashish Agarwal and P. R. Kumar, ``Improved capacity bounds for wireless networks." Wireless Communications and Mobile Computing, vol. 4, pp. 251-261, 2004.
  
  
• Nitin Gupta and P. R. Kumar, ``A performance analysis of the IEEE 802.11 Wireless LAN Medium Access Control." Communications in Information and Systems, pp. 279-304, vol. 3, no. 4, 2003.
  
  
• Liang-Liang Xie and P. R. Kumar, ``A Network Information Theory for Wireless Communication: Scaling Laws and Optimal Operation.'' IEEE Transactions on Information Theory, vol 50, no. 5, pp. 748-767, May 2004. [ps file: 400K].
  
  
• Kurt Plarre and P. R. Kumar, ``Extended Message Passing Algorithm for Inference in Loopy Gaussian Graphical Models.'' Ad Hoc Networks, vol. 2, pp. 153--169, 2004. [ps file: 404K],
  
  
• Feng Xue and P. R. Kumar, ``The number of neighbors needed for connectivity of wireless networks.'' Wireless Networks, pp. 169--181, vol.10, no. 2, March 2004. [ps file: 464K],
  
  
• Piyush Gupta and P. R. Kumar, ``Towards an Information Theory of Large Networks: An Achievable Rate Region,'' [ps file: 583K], [pdf file: 516K], IEEE Transactions on Information Theory, vol. 49, no. 8, pp. 1877-1894, August 2003.
  
  
• V. Borkar and P. R. Kumar, ``Dynamic Cesaro-Wardrop Equilibration in Networks,'' IEEE Transactions on Automatic Control, pp. 382-396, vol. 48, no. 3, March 2003. [ps file: 1.27M],
  
  
• Sunil Kumar and P. R. Kumar, ``Queueing Network Models in the Design and Analysis of Semiconductor Wafer Fabs,'' IEEE Transactions on Robotics and Automation, vol. 17, no. 5, pp. 548-561, October 2001. [ps file: 1.46M],
  
  
• Piyush Gupta and P. R. Kumar, ``Internets in the Sky: The Capacity of Three Dimensional Wireless Networks,'' Communications in Information and Systems, vol. 1, issue 1, pp. 33-49, January 2001.
  
  
• P. R. Kumar, ``New Technological Vistas for Systems and Control: The Example of Wireless Networks,''
  IEEE Control Systems Magazine, pp. 24-37, vol. 21, no. 1, Feb. 2001.
  
  
• James Morrison and P. R. Kumar, ``New Linear Program Performance Bounds for Closed Queueing Networks.''
  Discrete Event Dynamic Systems: Theory and Applications. vol. 11, no. 4, pp. 291-317, October 2001.
  
  
• P. R. Kumar, ``A correction to the proof of a lemma in "The capacity of wireless networks."" IEEE Transactions on Information Theory, vol. IT-49, no. 11, p. 3117, Nov.~2003.
  
  
• Piyush Gupta and P. R. Kumar, ``The Capacity of Wireless Networks.'' IEEE Transactions on Information Theory, pp. 388-404, vol.~IT-46, no.~2, March 2000.
  
  
• Michael W. Daniels and P. R. Kumar, ``Racing with the Sun: The optimal use of the solar powered automobile.'' IEEE Control Systems Magazine, pp. 12-22, vol. 19, no. 3, June 1999.
  
  
• James R. Morrison and P. R. Kumar, ``New Linear Program Performance Bounds for Queueing Networks,'' Journal of Optimization Theory and Applications, vol.100, no.3, March 1999, pp.575-97, Plenum Publishers.
  
  
• S. Kumar, R. Srikant, and P. R. Kumar, ``Bounding blocking probabilities and throughput in queueing networks with buffer capacity constraints,'' Queueing Systems: Theory and Applications, vol. 28, pp. 55-77, 1998.
  
  
• 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, Nov. 1998.
  
  
• Marco Campi and P. R. Kumar, ``Learning Dynamical Systems in a Stationary Environment,'' Systems and Control Letters, vol. 34, pp. 125-132, 1998.
  
  
• James R. Morrison and P. R. Kumar, ``On the Guaranteed Throughput and Efficiency of Closed Re-Entrant Lines.'' Queueing Systems: Theory and Applications, vol. 28, pp. 33-54, 1998.
  
  
• C. Humes, Jr., J. Ou, and P. R. Kumar. ``The delay of open Markovian queueing networks: Uniform functional bounds, heavy traffic pole multiplicities, and stability,'' Mathematics of Operations Research, vol. 22, no. 4, pp. 921-954, November 1997.
  
  
• H. Jin, J. Ou, and P. R. Kumar. ``The throughput of irreducible closed Markovian queueing networks: Functional bounds, asymptotic loss, efficiency, and the Harrison-Wein conjectures,'' Mathematics of Operations Research, vol. 22, no. 4, pp. 886-920, November 1997.
  
  
• P. R. Kumar, ``A tutorial on some new methods for performance evaluation of queueing networks,'' IEEE Journal on Selected Areas in Communications: Special Issue on ``Advances in the Fundamentals of Networking-Part I: Bridging Fundamental Theory and Networking,'' pp. 970-980, vol. 13, no. 6, August 1995.
  
  
• Gil I. Winograd and P. R. Kumar, ``The FCFS Service Discipline: Stable Network Topologies, Bounds on Traffic Burstiness and Delay, and Control by Regulators,'' Mathematical and Computer Modelling, vol. 23, no. 11/12, pp. 115-129, 1996.
  
  
• P. R. Kumar, ``Scheduling Semiconductor Manufacturing Plants,'' IEEE Control Systems Magazine, pp. 33-40, vol. 14, no. 6, December 1994.
  
  
• Kevin L. Buescher and P. R. Kumar, ``Learning by Canonical Smooth Estimation, Part II: Learning and Model Complexity,'' IEEE Transactions on Automatic Control. vol. 41, no. 4, pp. 557-569, April 1996.
  
  
• Kevin L. Buescher and P. R. Kumar, ``Learning by Canonical Smooth Estimation, Part I: Simultaneous Estimation,'' IEEE Transactions on Automatic Control. vol. 41, no. 4, pp. 545-556, April 1996.
  
  
• J. R. Perkins and P. R. Kumar, ``Optimal Control of Pull Manufacturing Systems,'' IEEE Transactions on Automatic Control, vol. 40, number 12, pp. 2040-2051, Dec. 1995.
  
  
• Sunil Kumar and P. R. Kumar, ``Fluctuation smoothing policies are stable for stochastic re-entrant lines,'' Journal of Discrete Event Dynamic Systems: Theory and Applications, vol. 6, no. 4, pp. 361-370, October 1996.
  
  
• P. R. Kumar and Sean P. Meyn, ``Duality and Linear Programs for Stability and Performance Analysis of Queueing Networks and Scheduling Policies,'' IEEE Transactions on Automatic Control, vol. 41, no. 1, pp. 4-17, January 1996.
  
  
• P. R. Kumar and Sean P. Meyn, ``Stability of Queueing Networks and Scheduling Policies,'' For Figures. IEEE Transactions on Automatic Control, pp. 251-260, vol. 40, no. 2, February 1995.
  
  
• Wei Ren and P. R. Kumar, ``Stochastic Adaptive Prediction and Model Reference Control,'' IEEE Transactions on Automatic Control, pp. 2047-2060, vol. 39, no. 10, October 1994.
  
  
• James R. Perkins, Carlos Humes, Jr., and P. R. Kumar, ``Distributed Scheduling of Flexible Manufacturing Systems: Stability and Performance,'' IEEE Transactions on Robotics and Automation: Special Section on Computer Integrated Manufacturing, vol. 10, no. 2, pp. 133-141, April 1994.
  
  
• Sunil Kumar and P. R. Kumar, ``Performance Bounds for Queueing Networks and Scheduling Policies,'' IEEE Transactions on Automatic Control, pp. 1600-1611, vol. 39, no. 8, August 1994. For Figures.
  
  
• Steve C. H. Lu, Deepa Ramaswamy, and P. R. Kumar, ``Efficient scheduling policies to reduce mean and variance of cycle-time in semiconductor manufacturing plants,'' IEEE Transactions on Semiconductor Manufacturing, pp. 374-385, vol. 7, number 3, August 1994.
  
  
• Madhav Desai, Sunil Kumar, and P. R. Kumar, ``Quasi-Statically Cooled Markov chains,'' Probability in the Engineering and Informational Sciences, vol. 8, pp. 1-19, 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.
  
  
• 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, pp. 1696-1725, Vol. 32, no. 5, November 1994.
  
  
• 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, September 1994.
  
  
• P. R. Kumar, ``Re-entrant Lines.'' Queueing Systems: Theory and Applications, Special Issue on Queueing Networks, pp. 87-110, vol. 13, nos. 1-3, May 1993.
  
  
• 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, pp. 566-578, vol. 37, no. 5, May 1992.
  
  
• 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.
  
  
• 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, February 1992.
  
  
• Steve H. Lu and P. R. Kumar, ``Distributed Scheduling Based on Due Dates and Buffer Priorities,'' IEEE Transactions on Automatic Control, pp. 1406-1416, December 1991.
  
  
• 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, December 1989.
  
  
• P. R. Kumar and T. I. Seidman, ``Dynamic Instabilities and Stabilization Methods in Distributed Real-Time Scheduling of Manufacturing Systems,'' IEEE Transactions on Automatic Control, vol. 35, no. 3, pp. 289-298, March 1990.
  
  
• 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, April 1990.
  
  
• D. P. Connors and P. R. Kumar, ``Simulated Annealing Type Markov Chains and their Order Balance Equations,'' SIAM Journal on Control and Optimization, vol. 27, no. 6, pp. 1440-1462, November 1989.
  
  
• J. Perkins and P. R. Kumar, ``Stable Distributed Real-Time Scheduling of Flexible Manufacturing/Assembly/Disassembly Systems,'' IEEE Transactions on Automatic Control, vol. 34, no. 2, pp. 139-148, February 1989.
  
  
• 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, March 1989.
  
  
• 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.ps
  
  
• D. P. Connors and P. R. Kumar, ``Balance of Recurrence Order in Time-Inhomogeneous Markov Chains With Application to Simulated Annealing,'' Probability in the Engineering and Informational Sciences, vol. 2, pp. 157-184, 1988.
  
  
• T. Bielecki and P. R. Kumar, ``Optimality of Zero Inventory Policies for Unreliable Manufacturing Systems,'' Operations Research, vol. 36, no. 4, pp. 532-541, July-August 1988.
  
  
• 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 L. Praly, ``Self Tuning Trackers,'' SIAM Journal on Control and Optimization, vol. 25, no. 4, pp. 1053-1071, July 1987.
  
  
• R. Akella and P. R. Kumar, ``Optimal Control of Production Rate in a Failure Prone Manufacturing System,'' IEEE Transactions on Automatic Control, pp. 116-126, vol. AC-31, no. 2., February 1986.
  
  
• 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.
  
  
• P. R. Kumar and J. Walrand, ``Individually Optimal Routing in Parallel Systems,'' Journal of Applied Probability, vol. 22, pp. 989-995, December 1985.
  
  
• 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.
  
  
• 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.
  
  
• W. Lin and P. R. Kumar, ``Optimal Control of a Queueing System with Two Heterogeneous Servers,'' IEEE Transactions on Automatic Control, vol. AC-29, pp. 696-703, August 1984.
  
  
• 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.
  
  

Manuscripts

• James Morrison and P. R. Kumar, ``Linear programming performance bounds for Markov chains with polyhedrally translation invariant transition probabilities and applications to unreliable manufacturing systems and enhanced wafer fab models.'' ps file (470K) , pdf file (394K) , October 17, 2001.
  
  
• Piyush Gupta, Robert Gray, and P. R. Kumar, ``An Experimental Scaling Law for Ad Hoc Networks.'' [ps file: 495K], [pdf file: 1851K], May 16, 2001.
  
  

Book Chapters

• 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
  
  
• Piyush Gupta and P. R. Kumar, ``Critical Power for Asymptotic Connectivity in Wireless Networks,'' pp. 547-566, in Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming. Edited by W.M. McEneany, G. Yin, and Q. Zhang, Birkhauser, Boston, 1998. ISBN 0-8176-4078-9
  
  
• P. R. Kumar and Sunil Kumar, ``Semiconductor Manufacturing Scheduling,'' pp. 110-119, Wiley Encyclopedia of Electrical and Electronics Engineering, Volume 19. John G. Webster, Editor. John Wiley and Sons, Inc., New York, 1999.
  
  
• P. R. Kumar, ``Dynamic Programming,'' in The Control Handbook, William S. Levine, Editor, CRC Press and IEEE Press, pp. 1097-1104, 1996.
  
  
• Sunil Kumar and P. R. Kumar, ``Closed queueing networks in heavy traffic: Fluid limits and efficiency,'' Stochastic Networks: Stability and Rare Events, Lecture Notes in Statistics, P. Glasserman, K. Sigman and D. Yao, Editors, Volume 117, pp. 41-64, Springer-Verlag, New York, 1996.
  
  
• P. R. Kumar, ``Asymptotics and Uniform Bounds for Multiclass Queueing Networks,'' Stochastic Networks: Stability and Rare Events, Lecture Notes in Statistics, P. Glasserman, K. Sigman and D. Yao, Editors, Volume 117, pp. 65-73, Springer-Verlag, New York, 1996.
  
  
• P. R. Kumar, ``Scheduling Queueing Networks: Stability, Performance Analysis and Design,'' Stochastic Networks, IMA Volumes in Mathematics and its Applications, Frank P. Kelly and Ruth Williams, Editors, Volume 71, pp. 21-70, Springer-Verlag, New York, 1995.
  
  
• P. R. Kumar, ``An Adaptive Controller Inspired by Recent Results on Learning from Experts,'' in Adaptive Control, Filtering, and Signal Processing, Volume 74, IMA Volumes in Mathematics and Applications, pp. 199-204, K. J. Astrom, G. C. Goodwin and P. R. Kumar, Editors, Springer-Verlag, New York, 1995.
  
  
• P. R. Kumar, ``Scheduling Manufacturing Systems of Re-Entrant Lines,'' Stochastic Modeling and Analysis of Manufacturing Systems, pp. 325-360, David D. Yao (ed.), Springer-Verlag, New York, 1994.
  
  
• 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.
  
  
• Steve Lu and P. R. Kumar, ``On Dynamic Scheduling of Manufacturing Systems,'' Communication, Control and Signal Processing: Proceedings of the 1990 Bilkent International Conference on New Trends in Communication, Control and Signal Processing, vol. II, pp. 1643-1649, E. Arikan, Editor, Elsevier, Amsterdam, 1990.
  
  
• 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.
  
  
• R. Akella and P. R. Kumar, ``Optimal Scheduling of a Flexible Manufacturing System : A Stochastic Control Problem for a System with Jump Markov Disturbances,'' pp. 131-134, Computational and Combinatorial Methods in Systems Theory, Editors: C. Byrnes and A. Lindquist, North Holland, 1986. (Proceedings of MTNS-1985-7th International Symposium on the Mathematical Theory of Networks and Systems, Stockholm, June 10-14, 1985.)
  
  
• 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.

Books Edited

• Adaptive Control, Filtering, and Signal Processing, Volume 74, The IMA Volumes in Mathematics and Applications, K. J. Astrom, G. C. Goodwin, and P. R. Kumar, Editors, Springer-Verlag, New York, 1995. ISBN 0-387-97988-3
  
  
• Discrete Event Systems, Manufacturing Systems and Communication Netwroks, Volume 73, IMA Volumes in Mathematics and Applications, P. R. Kumar and P. Varaiya, Editors, Springer-Verlag, New York, 1995. ISBN 0-387-97987-5