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|Title:||Implicit Lyapunov control of closed quantum systems|
|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. https://doi.org/10.1109/CDC.2009.5399902|
|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  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|
|Appears in Collections:||Staff Publications|
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