The top figure is a plot of the target or reference velocity field at the nondimensionalized time t = 0.3. The bottom figure is the optimal velocity field at that same time instant.
It is clear that the optimal velocity is now getting very close to the target velocity.
The initial target and initial optimal velocity fields
The target and optimal velocity fields at t = 0.1
The target and optimal velocity fields at t = 0.4
The target and optimal velocity fields at t = 0.5
The norm of the difference between the target and optimal velocities vs. time
The norm of the control vs. time