Stabilization by Means of Approximate Predictors for Systems with Delayed Input.

link: http://arxiv.org/abs/0910.3757
Abstract

Sufficient conditions for global stabilization of nonlinear systems with
delayed input by means of approximate predictors are presented. An approximate
predictor is a mapping which approximates the exact values of the stabilizing
input for the corresponding system with no delay. A systematic procedure for
the construction of approximate predictors is provided for globally Lipschitz
systems. The resulting stabilizing feedback can be implemented by means of a
dynamic distributed delay feedback law. Illustrating examples show the
efficiency of the proposed control strategy.