  Given a closed invariant set $\mathcal{C}$ of a dynamical system generated by
a smooth vector field, $X$, for each $\lambda > 0$, we construct a control
vector field, $X_{0}^{\lambda}$, such that the perturbed dynamics generated by
the vector field $X+X_{0}^{\lambda}$, globally asymptotically bp-stabilizes the
invariant set $\mathcal{C}$, that is, $\mathcal{C}$ attracts every bounded
positive orbit of the perturbed dynamical system.
