Linear systems subject to input saturation and time delay: Finite-gain L-p-stabilization

摘要

This paper deals with finite-gain stabilization of linear systems by static feedbacks which are bounded and time-delayed. For neutrally stable continuous-time linear systems, we provide a saturated linear feedback law ensuring finite-gain stability with respect to every L-p-norm, p is an element of [ 1,8], with an arbitrary small bound on the control and large (constant) delay. Moreover, we provide upper bounds for the corresponding L-p-gains which are delay-independent.