  We consider a switched system of two subsystems that are activated as the
trajectory enters the regions $\{(x,y):x>\bar x\}$ and $\{(x,y):x<-\bar x\}$
respectively, where $\bar x$ is a positive parameter. We prove that a regular
asymptotically stable equilibrium of the associated Filippov equation of
sliding motion (corresponding to $\bar x=0$) yields an orbitally stable limit
cycle for all $\bar x>0$ sufficiently small. The research is motivated by an
application to a dc-dc power converter, where $\bar x>0$ is used in place of
$\bar x=0$ to avoid sliding motions.
