Publications - Prashant G. Mehta - MechSE

Student's Thesis

Joseph Niedbalski, “Full and Reduced Order Estimation of Traffic Dynamics using Markov Chains,” MS Thesis, Department of Mechanical Science and Engineering, July 2007

Paul Wang, “Dynamics of Delay Differential Equations in Communication Networks,” MS Thesis, Department of Mechanical Science and Engineering, August 2007.

Journal Articles

Sun, Y. and P. G. Mehta, "Bode-like Fundamental Performance Limitations in Control of Nonlinear Systems," To appear in IEEE Transactions on Automatic Control, 2010.
Sun, Y. and P. G. Mehta, "The Kullback-Leibler Pseudo-metric for Comparing Dynamical Systems," To appear in IEEE Transactions on Automatic Control, 2010.
Vaidya, U., P. G. Mehta and U. Shanbhag, "Nonlinear Stabilization via Control Lyapunov Measure," To appear in IEEE Transactions on Automatic Control, 2010.

Yin, H., P. Wang, T. Alpcan and P. G. Mehta, "Hopf Bifurcation and Oscillations in a Communication Network with Heterogeneous Delays," Automatica, 45:10, 2358-2367, 2009. (pdf)
Barooah, P., P. G. Mehta and J. Hespanha, "Mistuning-based Control Design to Improve Closed-loop Stability of Vehicular Platoons," IEEE Transactions on Automatic Control, 54:9, 2100-2113, September 2009 (pdf).

P. G. Mehta, "Controlling Combustion," IEEE Control Systems Magazine, 29:4, 14-17, August 2009 (pdf).
Alpcan, T., P. Wang, P. G. Mehta and T. Basar, "A Non-equilibrium Analysis and Control Framework for Active Queue Management," Automatica, 44:10, 2474-2486, October 2008 (pdf)

Mehta, P. G., U. Vaidya, and A. Banaszuk, "Markov chains, Entropy and Fundamental Limitations in Nonlinear Stabilization," IEEE Transactions on Automatic Control, 53:3, 784-791, April 2008 (pdf)

Mehta, P. G., G. Hagen, and A. Banaszuk, "Symmetry and Symmetry-breaking for a Wave Equation with Feedback." SIAM Journal of Applied Dynamical Systems, 6:3, 549-575, July 2007 (pdf)

Vaidya, U. and P. G. Mehta, "Lyapunov Measure for Almost Everywhere Stability," IEEE Transactions on Automatic Control, 53:1, 307-324, March 2008 (pdf)

Mehta, P. G., B. A. Eisenhower, and J. Oppelstrup, "Computational Modeling and Analysis of Multiple Steady-states in Vapor Compression Systems," ASME Journal of Computational and Nonlinear Dynamics, 2:2, 132:140, April 2007 (pdf)

Banaszuk, A., P. G. Mehta, and G. Hagen, "The Role of Control in Design: From Fixing Problems to Design of Dynamics." Control Engineering Practice, 15:10, 1292-1305, October 2007 (pdf)

Mehta, P. G., M. Hessel, and M. Dellnitz, "Symmetry of Attractors and the Perron-Frobenius Operator," Journal of Difference Equations and Applications, 12:11, 1147-1178, November 2006 (pdf)

Banaszuk, A., P. G. Mehta, C. Jacobson, and A. I. Khibnik, "Fundamental Limitations in Control of Combustion Processes," IEEE Control Systems Technology, 14:5, 881-895, Sep. 2006 (pdf)

Mehta, P. G., G. Hagen, and A. Banaszuk, "Dynamical Systems in Jet Engines: A Symmetry Based Approach," Dynamical Systems Magazine (DS Web), Society of Industrial and Applied Mathematics, Oct. 2005

Mehta, P. G. and T. J. Healey,"On Steady Solutions of Symmetry Preserving Perturbations of the 2D Couette Flow Problems," Physics of Fluids, 17:10, Oct. 2005 (pdf)

Mehta, P. G., M. C. Soteriou, and A. Banaszuk, "Impact of Exothermicity on Steady and Linearized Response of Premixed Ducted Flame," Combustion & Flame, 141:4, 392-405, Jun. 2005 (pdf)

Healey, T. J. and P. G. Mehta, "Straighforward Computations of Spatical Equilbria of Geometrically Exact Cosserat Rods," International Journal of Bifurcation & Chaos, 15:3, 949-965, Mar. 2005 (pdf)

Mehta, P. G., "A Unified Well-posed Computational Approach to the 2D Orr-Sommerfeld Problem, "Journal of Computations Physics, 199:2, 541-557, Sept. 2004 (pdf)

Recent conference publication

Mehta, P. G. and S. P. Meyn. Q-learning and Pontryagin's Minimum Principle. In the Proceedings of the IEEE Conference on Decision and Control, Shanghai, December 2009.
Deng, K., P. G. Mehta and S. P. Meyn. A simulation-based method for aggregating Markov chains. In the Proceedings of the IEEE Conference on Decision and Control, Shanghai, December 2009.
Sun, Y. and P. G. Mehta. The Kullback-Leibler rate metric for comparing dynamical systems. In the Proceedings of the IEEE Conference on Decision and Control, Shanghai, December 2009.
Barooah, P. and P. G. Mehta. Optimal Mistuning for Improved Stability of Vehicular Platoons. n the Proceedings of the IEEE Conference on Decision and Control, Shanghai, December 2009.
Yin, H., U. V. Shanbhag and P. G. Mehta. Nash Equilibrium Problems with Congestion Costs and Shared Constraints. In the Proceedings of the IEEE Conference on Decision and Control, Shanghai, December 2009.
Hao, H., P. Barooah and P G. Mehta. Distributed control of two dimensional vehicle formations: Stability margin improvement by mistuning. In the Proceedings of the ASME Dynamic Systems and Control Conference, Los Angles, October 2009.
Deng, K., P. G. Mehta and S. P. Meyn. An Information theoretic framework for aggregating Markov chains. In the Proceedings of American Control Conference, St. Louis, pp. 731-736, June 2009.
Yin, H., C. L. Cox, P. G. Mehta and U. Shanbhag. Bifurcation analysis of a thalamic neuron model. In the Proceedings of American Control Conference, St. Louis, pp. 337-342, June 2009.
Deng, K., W. Chen, P. G. Mehta and S. P. Meyn. Resource Pooling for Optimal Evacuation of a Building. In the Proceedings of Conference of Decision and Control, Cancun, pp. 5565-5570, December, 2008.
Nieblaski, J., K. Deng, P. G. Mehta and S. P. Meyn. Model Reduction for Reduced Order Estimation in Traffic Models. In the Proceedings of American Control Conference, Seattle, pp. 914-919, June 2008.
Sun Y., P. G. Mehta and S. P. Meyn. Belief Propagation in Feedback Systems: Connections to Bode and Observability. In the Proceedings of American Control Conference, Seattle, pp. 1268-1273, June 2008.
Yin, H., P. Wang, T. Alpcan and P. G. Mehta. Hopf Bifurcation and Oscillations in Communication Networks with Delays. In the Proceedings of International Federation of Control World Congress, Seoul, South Korea, July 2008.
Sun Y. and P. G. Mehta. Fundamental Performance Limitations via Entropy Estimates with Hidden Markov Models. In the Proceedings of Conference on Decision & Control, New Orleans, pp. 3982-88, Dec. 2007.

Vaidya, U., P. G. Mehta and U. Shanbhag. Nonlinear Stabilization via Control-Lyapunov Measure. In the Proceedings of Conference on Decision & Control, New Orleans, pp. 1722-27, Dec. 2007.

Barooah, P., P. G. Mehta, and J. Hespanha. Control of Large Vehicular Platoons: Improving Closed Loop Stability by Mistuning. In the Proceedings of American Control Conference, New York, pp. 4666-71, 2007

Niedbalski, J. and P. G. Mehta. Simulation and Estimation of Evacuation Dynamics in a Building. In the Proceedings of American Control Conference, New York, pp. 5064-69, July 2007.

T. Alpcan, P. Wang, P. G. Mehta, and T. Basar. A Non-equilibrium Analysis and Control Framework for Active Queue Management. In the Proceedings of Nonlinear Control Conference, South Africa 2007.

T. Alpcan, P. G. Mehta, T. Basar, and U. Vaidya. Control of Non-equilibrium Dynamics in Communication Networks. In the Proceedings of Conference on Decision & Control, San Diego, pp. 5222-27, Dec. 2006.

P. G. Mehta, U. Vaidya, and A. Banaszuk. Markov chains, Entropy, and Fundamental Limitations in Nonlinear Stabilization. In the Proceedings of Conference on Decision & Control, San Diego, pp. 5222-27, Dec. 2006.

U. Vaidya and P. G. Mehta. Lyapunov Function and Duality in Stability Theory: Koopman and Perron-Frobenius operator. In the Proceedings of Conference on Decision & Control, San Diego, pp. 5216-21, Dec. 2006.

Mehta, P. G., M. Dorobantu, and A. Banaszuk, “Graph-based Multi-scale Analysis of Building System Transport Models,” Proceedings of the American Controls Conference, 1110-15, Minneapolis, MN, Jul. 2006.

Mehta, P.G. and U. Vaidya, “On Stochastic Analysis Approaches for Comparing Complex Systems,” Proceedings of the IEEE Conference on Decision and Control, Seville, Spain , 8082-87, Dec. 2005.