NANODYNAMICS SYSTEMS LAB
 

Quantum Mechanical Systems

We applied existing control theory on Lie Groups to quantum mechanical systems. This lead to a test for controllability of quantum-mechanical systems. This was one of the first results on controllability of quantum mechanical systems

Relevant publication

  • V. Ramakrishna, M. V. Salapaka, M. Dahleh, H. Rabitz, and A. Pierce, “ Controllability of molecular systems”, Physical Review A., V51, no. 2:pp. 960-966, Feb 1995.

For quantum-mechanical systems, the problem of devising a control strategy to drive a system from one state to another has remained largely unsolved. This task is further complicated as the usual feedback strategies cannot be applied as measurement leads to modifying the state. In a recent work we have demonstrated how low amplitude sinusoidal control can be applied to drive a state from an initial state to a final state with very high probability.

Relevant publication

  • D. Sahoo, M. V. Salapaka, “Constructive control for quantum mechanical systems”, IEEE Conference on  Control and Decision Conference, Volume: 2 , 2001  Page(s): 1601 –1606

Feedback in Scheduling

Relevant publications

  •    D. Sahoo, M. V. Salapaka, Al-Omari, R. Somani A. Manimaran, G. “Feedback Control theory for Real-time Scheduling” Proceedings of the American Control Conference, Anchorage, 2002.  

WDM Networks

We have begun exploring applying the robust control framework to real-time computing systems. The initial research was supported by a NSF grant.  In optical networking we have formulated and solved the problem for optimizing capacity and revenue in survivable WDM networks. It involves formulating the design constraints involved as an integer linear programming problem and obtaining efficient methods to solve the problem.

 

Relevant publications

 

  • 1.     M. Sridharan , M. V. Salapaka, A. Somani, “A Practical Approach to Operating Survivable WDM Networks”, Special Issue on WDM Based Network Architectures, IEEE Journal on Selected Areas in Communications on  WDM-based Network Architectures. vol. 20, no. 1, January 2002.                             

  • 2.     M. Sridharan, A. Somani, M. V. Salapaka, “Approaches for Capacity and Revenue Optimization in Survivable WDM Networks”,  Spl. Issue on Survivable  Optical Networks,  Journal of High Speed Networks,  August 2001. vol. 10, no. 2, pp. 109 -125,