Quantum control based on three forms of Lyapunov functions

Abstract

Abstract This paper introduces the quantum control of Lyapunov functions based on state distance, Lyapunov functions based on the mean of imaginary quantities, and Lyapunov functions based on state errors. In this paper, the specific control laws under the three forms are given, and the stability analysis is analyzed by the LaSalle invariance principle, and the numerical simulation is carried out in the 2D test system. For the Lyapunov function based on the average of virtual mechanical quantities, the particle swarm algorithm and simulated annealing algorithm are combined with the analysis in the calculation process. Finally, a unified form of control law under the three forms is given.