  Dynamical systems can be prone to severe fluctuations due to the presence of
chaotic dynamics. This paper explains for a toy chaotic economic model how such
a system can be regulated by the application of relatively weak control to keep
the system confined to a bounded region of the phase space, even in the
presence of strong external disturbances. Since the control here is weaker than
the disturbance, the system cannot be controlled to a particular trajectory,
but under certain circumstances it can be partially controlled to avoid extreme
values. Partial control depends on the existence of a certain set called a
"safe sets". We describe the safe set and how it varies with parameters,
sometimes continuously and sometimes discontinuously.
