Stabilization of linear time varying systems with input delays: Application to rapidly time varying systems

We study stabilization problems for a broad class of time varying linear systems that have constant input delays. Our reduction model method allows arbitrarily long delays, and it establishes input-to-state stability with respect to additive uncertainties. We apply our work to a large class of rapidly time varying systems, and we provide a lower bound on the admissible rapidness parameters. We illustrate our results using a pendulum model.