| 报告题目 | On Symmetries in Optimal Control: The KP problem and applications to Quantum Systems |
| 报告人 | Prof. Domenico D'Alessandro |
| 报告人单位 | Department of Mathematics, Iowa State University |
| 报告时间 | 2016-06-08 |
| 报告地点 | 合肥微尺度物质科学国家实验室六楼会议室（6007室） |
| 主办单位 | 合肥微尺度物质科学国家实验室、自旋磁共振实验室 |
| 报告介绍 | Abstract：
Motivated by the problem of time optimal control of two level quantum systems, we investigate the role of symmetries in general time-optimal control problems. If a symmetry is present the underlying (reduced) orbit space where the geodesics are studied is not simply a manifold but it has a reduced dimension and the structure of a stratified space. We study the relationship between singular strata and the critical and cut loci of the sub-Riemannian structure underlying the time-optimal control problem. We consider in detail problems with a K-P structure for which several simplifications are possible. We show how the knowledge of the stratified structure of the orbit space helps in the solution of the time optimal control problems and describe several examples of interest in quantum control. Biosketch： |
