  For switched systems that switch between distinct globally stable equilibria,
we offer closed-form formulas that lock oscillations in the required
neighborhood of the equilibria. Motivated by non-spiking neuron models, the
main focus of the paper is on the case of planar switched affine systems, where
we use properties of nested cylinders coming from quadratic Lyapunov functions.
In particular, for the first time ever, we use the dwell-time concept in order
to give an explicit condition for non-spiking of linear neuron models with
periodically switching current. An extension to the general nonlinear case is
also given.
