NDLI: Implicit Lyapunov control of multi-control Hamiltonian systems based on state distance

Content Provider	IEEE Xplore Digital Library
Author	Fangfang Meng Shuang Cong Sen Kuang
Copyright Year	2012
Description	Author affiliation: Department of Automation, University of science and technology of China, Hefei, Anhui Province, China (Fangfang Meng; Shuang Cong; Sen Kuang)
Abstract	For closed quantum systems, if controlled systems are strongly regular and all other eigenstates are directly coupled to a target state, then such control systems can be asymptotically stabilized by means of the Lyapunov-based control. However, when the controlled systems are not strongly regular, or when there exists at least one eigenstate that is directly uncoupled to the target state, the situations will become complicated. This paper proposed a method based on an implicit Lyapunov function to overcome these two degenerate cases. Also, the proposed method is suitable for multi-control Hamiltonian systems. The convergence of closed-loop systems is analyzed by the LaSalle invariance principle. Finally, numerical simulation experiments on a 4-level system are done. The experiment results show the effectiveness of the implicit Lyapunov control method for degenerate cases and multi-control Hamiltonians.
Starting Page	5127
Ending Page	5132
File Size	140882
Page Count	6
File Format	PDF
ISBN	9781467313971
e-ISBN	9781467313988
DOI	10.1109/WCICA.2012.6359449
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems Lyapunov methods Convergence Raman scattering Equations Mathematical model Numerical simulation state distance closed quantum systems Lyapunov control implicit function
Content Type	Text
Resource Type	Article

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