SIMULTANEOUS LP-STABILIZATION AND INTERNAL STABILIZATION OF LINEAR-SYSTEMS SUBJECT TO INPUT SATURATION - STATE-FEEDBACK CASE

We consider the problem of simultaneous finite gain L(p)-stabilization and internal stabilization of linear systems subject to input saturat ion via linear static state feedback. We show that bounded input finit e-gain L(p)-stabilization and local asymptotic stabilization can alway s be achieved simultaneously no matter where the poles of the open-loo p system are, and the locations of these poles play a role only when b ounded input finite gain L(p)-stabilization and global or semi-global stabilization are required simultaneously.