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The Scientific World Journal
Volume 2013 (2013), Article ID 545091, 8 pages
Research Article

Hybrid Impulsive Control for Closed Quantum Systems

1College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China
2Department of Mathematics, Tongji University, Shanghai 200092, China
3Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA

Received 23 March 2013; Accepted 25 April 2013

Academic Editors: C. Chen, D. Dong, M. Jiang, and L.-C. Wang

Copyright © 2013 Shouwei Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the largest invariant sets are explicitly characterized, and the convergence of quantum impulsive control systems is analyzed accordingly. Numerical simulation is also presented to demonstrate the improvement of the control performance.