Nonlinear Feedback Solutions for a Class of Quantum Control Problems
Kazufumi Ito, Karl K. Kunisch, Qin Zhang · International series of numerical mathematics · 2009
Control of quantum systems described by the linear Schrödinger equation are considered. Control inputs enter through coupling operators and result in a bilinear control system. Feedback control laws are developed for orbit tracking. The asymptotic properties of the feedback laws are analyzed by the LaSalle-type invariance principle. Numerical integration via time-splitting is also investigated and used to demonstrate the feasibility of the proposed feedback laws and to compare their performance.