ABSTRACT
In this chapter we consider stabilization to a set. Our aim is to construct a stabilizer in such a way that trajectories of the control system under consideration tend to a given set. We completely solve this problem for linear systems when the terminal set is a closed convex cone. For nonlinear systems we present suitable techniques when the set is a surface. In particular the surface can be a trajectory. We develop rather complete theory in the case of a periodic trajectory.
