Feedback control of quantum entanglement in a two-spin system
Automatica (Journal of IFAC)
Stabilizing Feedback Controls for Quantum Systems
SIAM Journal on Control and Optimization
Lyapunov control methods of closed quantum systems
Automatica (Journal of IFAC)
Brief paper: On hybrid control of a class of stochastic non-linear Markovian switching systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Multi-model unfalsified adaptive switching supervisory control
Automatica (Journal of IFAC)
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Switching adaptive output-feedback control of nonlinearly parametrized systems
Automatica (Journal of IFAC)
Lyapunov control of bilinear Schrödinger equations
Automatica (Journal of IFAC)
Hi-index | 22.14 |
In this paper, we consider the state transfer problem for closed quantum systems under a degenerate case, where the linearized system around the target state is not controllable. It is known that the traditional Lyapunov control methods may fail to guarantee the convergence to the target state under the degenerate case. Hence, we propose to use multiple Lyapunov functions and design a switching control strategy to achieve more accurate state transfer. It is shown that the system can converge to the intersection of invariant sets including the target state. The explicit analysis of the convergence is provided to design the switching law. Moreover, the effectiveness of open-loop Lyapunov control is discussed. Simulation studies are presented to show the improved control performance.