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Title: Switching control of closed quantum systems via the Lyapunov method
Authors: Zhao, S.
Lin, H. 
Xue, Z.
Keywords: LaSalle invariance principle
Lyapunov method
Quantum system
Switching control
Issue Date: Aug-2012
Citation: Zhao, S., Lin, H., Xue, Z. (2012-08). Switching control of closed quantum systems via the Lyapunov method. Automatica 48 (8) : 1833-1838. ScholarBank@NUS Repository.
Abstract: 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. © 2012 Published by Elsevier Ltd. All rights reserved.
Source Title: Automatica
ISSN: 00051098
DOI: 10.1016/j.automatica.2012.05.069
Appears in Collections:Staff Publications

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