Prof. Umesh Vaidya
Dept. of Electrical and Computer Engineering
3215, Coover Hall
Phone : (515)-294-7975
Email: ugvaidya@iastate.edu
Research Area
Dynamical Systems and Control theory
Teaching
Fall 08 : EE 577, Linear systems
Spring 08: EE 578, Nonlinear Systems
Students
Amit Diwadkar (Ph.D)
Wang Kai (Ph.D)
Publications:
Stability and Stabilization using Lyapunov measure
1. U. Vaidya and P. G. Mehta, "Lyapunov measure for almost everywhere stability", IEEE Transaction on Automatic Control, Vol. 53, No.1, pp 307-323, 2008.
2. U. Vaidya, "Duality in Stability theory: Lyapunov function and Lyapunov measure", 44th Allerton Conference on Communication, Control, and Computing 2006
3. U. Vaidya and P.G. Mehta, "Computation of Lyapunov measure for almost everywhere stability", Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, USA, December 13-15, 2006.
4. U. Vaidya, "Converse theorem for almost everywhere stability using Lyapunov measure", Proceedings of the 2007 American Control Conference, New York.
5. U. Vaidya, P.G. Mehta and U. Shanbag " Nonlinear stabilization via control Lyapunov measure", Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, USA, December 12-14, 2007.
6. R. Rajaram, U. Vaidya and M. Fardad, "Connection between almost everywhere stability and advection PDE", Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, USA, December 12-14, 2007.
6. A. Ragunathan and U. Vaidya , "Optimal stabilization using Lyapunov measure", Proceedings of the 2008 American Control Conference, Seattle Washington USA, June 11-13 2008.
Nonlinear Model Reduction and comparison
1. U. Vaidya, "Observability gramian for nonlinear systems", Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, USA, December 12-14, 2007.
2. U. Vaidya, G. Hagen and et.al, "Comparison of systems using diffusion maps", Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, December 12-15, 2005.
3. P.G. Mehta and U. Vaidya, "On Stochastic analysis approach for comparing complex systems", Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, December 12-15, 2005.
4. G. Hagen and U. Vaidya, "An approach for nonlinear model extraction from time series data", Proceedings of the 2008 American Control Conference, Seattle Washington USA, June 11-13 2008.
Controllability
1. U. Vaidya and I. Mezic, "Controllability for a class of area preserving twist maps", Physica D, Volume 189, Pages 234-246, 2004
2. U. Vaidya and I. Mezic, "Controllability for a class of discrete time Hamiltonian systems" Proceedings of the 42th IEEE Conference on Decision and Control Conference, Maui, Hawaii, USA December 12-15, 2005.
Mixing in Fluid Flows
1. G. Mathew, I. Mezic, S. Grivolopoulos, U. Vaidya and L. Petzold, "Optimal control of mixing in stokes fluid flows", Journal of Fluid Mechanics, Vol 580, pp 261-281, 2007.
Others
1. N. Ananthkrishnan, U. Vaidya and V. Walimbe, "Global stability analysis of axial compressor stall and surge phenomena using bifurcation", Proceeding of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, Volume 217, Number 3, Pages 279-286, 2003.
2. P. G. Mehta, U. Vaidya and A. Banaszuk, “Markov chains, entropy and fundamental limitations in nonlinear stabilization”, Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, USA, December 13-15, 2006.
3. T. John, I. Mezic, U. Vaidya and M. Lelic, “Low order modeling, dynamics and control of an inert gas based fire protection system”, Proceedings of the 2006 American Control Conference, Minneapolis, MI.
4. T. Alpcan, P. G. Mehta, T. Basar and U. Vaidya , “Control of non-equilibrium dynamics in communication networks”, Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, USA, December 13-15, 2006.
Funding Support
National Science Foundation, CMMI Division.