Please use this identifier to cite or link to this item:
Title: An implicit Lyapunov control for finite-dimensional closed quantum systems
Authors: Zhao, S.
Lin, H. 
Sun, J.
Xue, Z.
Keywords: LaSalle invariance principle
Lyapunov control
quantum system
Issue Date: 25-Jul-2012
Source: Zhao, S., Lin, H., Sun, J., Xue, Z. (2012-07-25). An implicit Lyapunov control for finite-dimensional closed quantum systems. International Journal of Robust and Nonlinear Control 22 (11) : 1212-1228. ScholarBank@NUS Repository.
Abstract: In this paper, the state convergence problem for closed quantum systems is investigated. We consider two degenerate cases, where the internal Hamiltonian of the system is not strongly regular or the linearized system around the target state is not controllable. Both the cases are closely related to practical systems such as one-dimensional oscillators and coupled two spin systems. An implicit Lyapunov-based control strategy is adopted for the convergence analysis. In particular, two kinds of Lyapunov functions are defined by implicit functions and their existences are guaranteed by a fixed point theorem. The convergence analysis is investigated by the LaSalle invariance principle for both cases. Moreover, the two Lyapunov functions are unified in a general form, and the characterization of the largest invariant set is presented. Finally, simulation studies are included to show the effectiveness and advantage of the proposed methods. Copyright © 2011 John Wiley & Sons, Ltd.
Source Title: International Journal of Robust and Nonlinear Control
ISSN: 10498923
DOI: 10.1002/rnc.1748
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Feb 28, 2018


checked on Feb 19, 2018

Page view(s)

checked on Mar 12, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.