  It is shown that a switching control involving a finite number of Dirac delta
actuators is able to steer the state of a general class of nonautonomous
parabolic equations to zero as time increases to infinity. The strategy is
based on a recent feedback stabilizability result, which utilizes control
forces given by linear combinations of appropriately located Dirac delta
distribution actuators. Then, the existence of a stabilizing switching control
with no more than one actuator active at each time instant is established. For
the implementation in practice, the stabilization problem is formulated as an
infinite horizon optimal control problem, with cardinality-type control
constraints enforcing the switching property. Subsequently, this problem is
tackled using a receding horizon framework. Its suboptimality and
stabilizabilizing properties are analyzed. Numerical simulations validate the
approach, illustrating its stabilizing and switching properties.
