Semidefinite Programming and Reachable Sets of Dissipative Bilinear Control Systems
摘要
In this manuscript, we investigate optimal control problems which arise in connection with manipulation of dissipative quantum dynamics. These problems motivate the study of a class of dissipative bilinear control systems. For these systems it is shown that the optimal solution and the reachable set can be found by solving a semidefinite program. In practice, solutions to these problems generate optimal methods for control of quantum mechanical phenomena in presence of dissipation. In the area of coherent spectroscopy, this translates into the maximum signal to noise ratio that can be obtained in a spectroscopy experiment.
引用
@article{arxiv.math/0504308,
title = {Semidefinite Programming and Reachable Sets of Dissipative Bilinear Control Systems},
author = {Dionisis Stefanatos and Navin Khaneja},
journal= {arXiv preprint arXiv:math/0504308},
year = {2014}
}
备注
A shorter version of this paper will appear in the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005