Before revision:  The characteristic time course of the computed optimal control is the following: After an intense but short initial lockdown, a dynamical equilibrium is enforced during which the number of actively infected is held on a constant level for a longer period of time. At the same time, the measures can be gradually relaxed with an ever increasing speed. Two simple rules for the optimal control of the effective reproduction number are presented, see Eqs. (13)-(14), which ensure a stable route out of the initial lockdown.
After revision:  Careful analysis of the resulting evolution of the time-dependent effective reproduction number are presented, see Eqs. (13)-(14), which ensure a stable route out of the initial lockdown.