  We discuss the control of a human crowd whose dynamics is governed by a
regularized version of Hughes' model, cf. Hughes: A continuum theory for the
flow of pedestrians. Transportation research part B: methodological, 36 (2002).
We assume that a finite number of agents act on the crowd and try to optimize
their paths in a given time interval. The objective functional can be general
and it can correspond, for instance, to the desire for fast evacuation or to
maintain a single group of individuals. We provide an existence result for the
forward model, study differentiability properties of the control-to-state map,
establish the existence of a globally optimal control and formulate optimality
conditions.
