  This paper considers a particular parameter estimator for switched systems
and analyzes its properties. The estimator in question is defined as the map
from the data set to the solution set of an optimization problem where the
to-be-optimized cost function is a sum of pointwise infima over a finite set of
sub-functions. This is a hard nonconvex problem. The paper studies some
fundamental properties of this problem such as uniqueness of the solution or
boundedness of the estimation error regardless of computational considerations.
The interest of the analysis is to lay out the main influential properties of
the data on the performance of this (ideal) estimator.
