Study on Input-to-state Stabilization of a Class of Linear Systems Subject to Input Saturation

This paper deals with input-to-state stabilization of a class of input-saturated linear systems. A simple linear feedback controller is constructed by which the input-to-state stabilizes the class of input-saturated systems with two properties, namely that the uncontrolled systems are critical stable and a standard controllable condition holds. As an application, a feedback law is designed to stabilize a cascade system.