Minimum-time control of two systems evolving under SU(2) transformations and subject to opposite drifts
| Date/Time: | Wednesday, 15 Apr 2015 from 4:10 pm to 5:10 pm |
|---|---|
| Location: | A401, Zaffarano Hall |
| Contact: | Chunhui Chen |
| Phone: | 515-294-5062 |
| Channel: | College of Liberal Arts and Sciences |
| Actions: | Download iCal/vCal | Email Reminder |
We consider two systems whose individual dynamics is described by SU(2) transformations. These dynamics can be modified by common control actions, and they contain opposite, uncontrollable drift terms. We investigate the optimal control problem of generating the same transformation for the two systems in minimum time, when the control actions are bounded in strenght. We provide analytical solution for the class of SWAP operators. This problem has several possible applications, as the characterization of optimal rotations of mechanical systems, or the optimal manipulation of two-level systems in quantum information processing.