Lyapunov control of quantum systems with impulsive control fields

ScientificWorldJournal. 2013 May 21:2013:814080. doi: 10.1155/2013/814080. Print 2013.

Abstract

We investigate the Lyapunov control of finite-dimensional quantum systems with impulsive control fields, where the studied quantum systems are governed by the Schrödinger equation. By three different Lyapunov functions and the invariant principle of impulsive systems, we study the convergence of quantum systems with impulsive control fields and propose new results for the mentioned quantum systems in the form of sufficient conditions. Two numerical simulations are presented to illustrate the effectiveness of the proposed control method.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation
  • Electromagnetic Fields
  • Feedback*
  • Models, Chemical*
  • Quantum Theory*
  • Stress, Mechanical