Deterministic feedback stabilization of linear systems with matched state and input uncertainty and control constraints

A class of bounded generalized state-feedback controls is designed to practically stabilize a class of linear uncertain systems. First, a local result is obtained, viz, under some appropriate hypotheses, the system can be practically stabilized by a bounded control provided a given ball of initial states is ´small enough´. Next, an extension to the result is considered. Under additional hypotheses, the same bounded generalized state-feedback control (used for the local problem) globally and practically stabilizes the class of uncertain systems.