Global guidance stabilization of linear control
systems
Abstract
A global stabilization problem for linear control systems with
constrained controls is considered. First an auxiliary control
system with a full-dimensional set of controls is studied. A
global stabilizer for such a system can be found in a simple
analytical form. Then using local stabilization techniques, a
local stabilizer that keeps trajectories of the original system
in the vicinity of a solution to the auxiliary system is
constructed.