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International Journal of Control Volume 86, 2013 - Issue 6
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Original Articles

Finite-time stability of quantum systems governed by Schrödinger’s equation

Wei YangDepartment of Mathematics, Tongji University, Shanghai, 200092, China
&
Jitao SunDepartment of Mathematics, Tongji University, Shanghai, 200092, ChinaCorrespondence[email protected]
Pages 1131-1136 | Received 23 Aug 2012, Accepted 08 Mar 2013, Published online: 16 Apr 2013

References

  • Amato, F., Ariola, M., & Cosentino, C. Finite-time control of linear time-varying systems via output feedback. Proceedings of the 2005 American Control Conference, (pp. 4722–4726) Portland, OR, USA.
  • Amato, F., Ariola, M., & Cosentino, C. (2006). Finite-time stabilization via dynamic output feedback. Automatica, 42, 337–342.
  • D’Alessandro, D. (2007). Introduction to quantum control and dynamics. New York: CRC Press.
  • Dong, D., & Petersen, I. R. (2011). Controllability of quantum systems with switching control. International Journal of Control, 84, 37–46.
  • Grivopoulos, S., & Bamieh, B. (2003). Lyapunov-based control of quantum systems. Proceedings of the 42nd IEEE conference on decisionand control (pp. 434–438), Maui, HI: IEEE.
  • Huang, L. (1984). Algebra in systems and control theory. Beijing: Science Press.
  • Kuang, S., & Cong, S. (2008). Lyapunov control methods of closed quantum systems. Automatica, 44, 98–108.
  • Li, C.X., Shi, J.P., & Sun, J.T. (2011). Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks. Nonlinear Analysis-Theory Methods & Applications, 74, 3099–3111.
  • Li, J., Qian, C., & Ding, S. (2010). Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems. International Journal of Control, 83, 2241–2252.
  • Liu, L., & Sun, J. (2008). Finite-time stabilization of linear systems via impulsive control. International Journal of Control, 81, 905–909.
  • Lu, G., & Ho, W. C. D. (2006). Continuous stabilization controllers for singular bilinear systems: The state feedback case. Automatica, 42, 309–314.
  • Mirrahimi, M., Rouchon, P., & Turinici, G. (2005). Lyapunov control of bilinear Schrodinger equations. Automatica, 41, 1987–1994.
  • Mirrahimi, M., Turinici, G., & Rouchon, P. (2005). Reference trajectory tracking for locally designed coherent quantum controls. The Journal of Physical Chemistry A, 109, 2631–2637.
  • Moulay, E., & Perruquetti, W. (2008). Finite time stability conditions for non-autonomous continuous systems. International Journal of Control, 81, 797–803.
  • Roy, B. C., & Das, P. K. (2007). Optimal control of multi-level quantum system with energy cost functional. International Journal of Control, 80, 1299–1306.
  • Wang, X. T., & Schirmer, S. (2010). Analysis of Lyapunov method for control of quantum states. IEEE Transactions on Automatic Control, 55, 2259–2270.
  • Xu, J., & Sun, J. T. (2010). Finite-time stability of linear time-varying singular impulsive systems. IET Control Theory and Applications, 4, 2239–2244.
  • Zhao, S. W., & Sun, J. T. (2010). Controllability and observability for impulsive systems in complex fields. Nonlinear Analysis: Real World Applications, 11, 1513–1521.
  • Zhao, S. W., Sun, J. T., & Liu, L. (2008). Finite-time stability of linear time-varying singular systems with impulsive effects. International Journal of Control, 81, 1824–1829.

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