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Title: Implicit Lyapunov control of closed quantum systems
Authors: Zhao, S.
Lin, H. 
Sun, J.
Xue, Z.
Issue Date: 2009
Citation: Zhao, S., Lin, H., Sun, J., Xue, Z. (2009). Implicit Lyapunov control of closed quantum systems. Proceedings of the IEEE Conference on Decision and Control : 3811-3815. ScholarBank@NUS Repository.
Abstract: In this paper, we investigate the state convergence problem for closed quantum systems under degenerate cases. An implicit Lyapunov-based control strategy is proposed for the convergence analysis of finite dimensional bilinear Schrödinger equations. The degenerate cases that the systems do not satisfy the strong regular condition [17] and the condition 〈φ i|H1|φj〉 ≠ 0, i, j ≠ k for eigenstates φi, φj of H0 different from target state φk, are considered. First the Lyapunov function is defined by the implicit function and the existence is guaranteed by a fixed point theorem. Then the convergence analysis is investigated by the LaSalle invariance principle. Finally, an example is provided to show the effectiveness of proposed results. ©2009 IEEE.
Source Title: Proceedings of the IEEE Conference on Decision and Control
ISBN: 9781424438716
ISSN: 01912216
DOI: 10.1109/CDC.2009.5399902
Appears in Collections:Staff Publications

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