  One of the main aspects of switched affine systems that makes their
stabilizability study intricate is the existence of (generally) infinitely many
equilibrium points in the state space. Thus, prior to designing the switched
control, the user must specify one of these equilibrium points to be the goal
or reference. This can be a cumbersome task, especially if this goal is
partially given or only defined as a set of constraints. To tackle this issue,
in this paper we describe algorithms that can determine whether a given goal is
an equilibrium point of the system and also jointly search for equilibrium
points and design globally stabilizing switching functions.
